<?xml version="1.0" encoding="UTF-8"?>
<quiz>
 <!-- categoryid: 1349 -->
 <question type="category"><category><text></text></category></question>
 
 <!-- resourceid-resourcedataid: 15026-12774 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Addition From Components 1</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Add the following vectors:</p><p><b>A</b>&nbsp;= 30i + 20j m/s</p><p><b>B</b>&nbsp;= -25i - 40j m/s</p><p>Put your answer in i/j form.</p><p><br></p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>5i-20j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;5i-20j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"/&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15027-12775 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Addition From Components 2</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Add the following vectors:</p><p><b>A</b>&nbsp;= 10i - 12j m</p><p><b>B</b>&nbsp;= -13i + 13j m</p><p>Put your answer in i/j form.</p><p><br></p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>-3i+j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;-3i+j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15028-12776 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Addition From Components 3</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Add the following vectors:</p><p><b>A</b>&nbsp;= 4i - 3j m/s</p><p><b>B</b>&nbsp;= 3i + 6j m/s</p><p>Put your answer in i/j form.</p><p><br></p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>7i+3j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;7i+3j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15029-12777 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Addition From Components 4</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Add the following vectors:</p><p><b>A</b>&nbsp;= 3i - 12j m/s</p><p><b>B</b>&nbsp;= 42i + 42j m/s</p><p>Put your answer in i/j form.</p><p><br></p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>45i+30j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;45i+30j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15030-12778 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Addition From Components 5</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Add the following vectors:</p><p><b>A</b>&nbsp;= 1.5i - 2.5j m</p><p><b>B</b>&nbsp;= 3.5I + 7.5j m</p><p>Put your answer in i/j form.</p><p><br></p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>5i+5j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;5i+5j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- categoryid: 1350 -->
 <question type="category"><category><text></text></category></question>
 
 <!-- resourceid-resourcedataid: 15031-12779 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Subtraction From Components 1</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Subtract the following vectors A-B:</p><p><b>A</b>&nbsp;= 30i + 20j m/s</p><p><b>B</b>&nbsp;= -25i - 40j m/s</p><p>Put your answer in i/j form.</p><p><br></p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>55i+60j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;55i+60j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15032-12780 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Subtraction From Components 2</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Subtract the following vectors A-B:</p><p><b>A</b>&nbsp;= 10i - 12j m</p><p><b>B</b>&nbsp;= -13i + 13j m</p><p>Put your answer in i/j form.</p><p><br></p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>23i-25j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;23i-25j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15033-12781 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Subtraction From Components 3</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Subtract the following vectors A-B:</p><p><b>A</b>&nbsp;= 4i - 3j m/s</p><p><b>B</b>&nbsp;= 3i + 6j m/s</p><p>Put your answer in i/j form.</p><p><br></p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>i-9j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;i-9j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15034-12782 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Subtraction From Components 4</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Subtract the following vectors A-B:</p><p><b>A</b>&nbsp;= 3i - 12j m/s</p><p><b>B</b>&nbsp;= 42i + 42j m/s</p><p>Put your answer in i/j form.</p><p><br></p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>-39i-54j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;-39i-54j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15035-12783 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Subtraction From Components 5</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Subtract the following vectors A-B:</p><p><b>A</b>&nbsp;= 1.5i - 2.5j m</p><p><b>B</b>&nbsp;= 3.5I + 7.5j m</p><p>Put your answer in i/j form.</p><p><br></p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>-2i-10j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;-2i-10j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- categoryid: 1351 -->
 <question type="category"><category><text></text></category></question>
 
 <!-- resourceid-resourcedataid: 15036-12784 -->
 <question type="shortanswerwiris">
    <name>
      <text>Scalar Multiplication from Components 1</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Multiply the following vector <b>A</b>&nbsp;by the scalar 3.</p><p><b>A</b>&nbsp;= 12i + 20j m/s</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>36i+60j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;36i+60j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"/&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15037-12785 -->
 <question type="shortanswerwiris">
    <name>
      <text>Scalar Multiplication from Components 2</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Multiply the following vector <b>A</b>&nbsp;by the scalar 4.</p><p><b>A</b>&nbsp;= 12i + 20j m/s</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>48i+80j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;48i+80j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15038-12786 -->
 <question type="shortanswerwiris">
    <name>
      <text>Scalar Multiplication from Components 3</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Multiply the following vector <b>A</b>&nbsp;by the scalar -2.</p><p><b>A</b>&nbsp;= 12i + 20j m/s</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>-24i-40j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;-24i-40j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15039-12787 -->
 <question type="shortanswerwiris">
    <name>
      <text>Scalar Multiplication from Components 4</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Multiply the following vector <b>A</b>&nbsp;by the scalar -5.</p><p><b>A</b>&nbsp;= 3i - 4j m/s</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>-15i+20j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;-15i+20j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15040-12788 -->
 <question type="shortanswerwiris">
    <name>
      <text>Scalar Multiplication from Components 5</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Multiply the following vector <b>A</b>&nbsp;by the scalar -1.</p><p><b>A</b>&nbsp;= 3i - 4j m/s</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>-3i+4j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;-3i+4j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- categoryid: 1352 -->
 <question type="category"><category><text></text></category></question>
 
 <!-- resourceid-resourcedataid: 15041-12789 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Addition from Magnitude/Direction 1</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Add the following vectors <b>A+B</b>&nbsp;giving your answer in i/j form:</p><p><b>A</b>&nbsp;= 20 m/s @ 30 degrees</p><p><b>B</b>&nbsp;= 15 m/s @ 225 degrees</p><p>Round your answers to the nearest hundredth.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>6.71i-0.61j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;6.71i-0.61j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;option name="float_format"&gt;,mg&lt;/option&gt;&lt;option name="digit_group_separator"&gt;.&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"/&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15042-12790 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Addition from Magnitude/Direction 2</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Add the following vectors <b>A+B</b>&nbsp;giving your answer in i/j form:</p><p><b>A</b>&nbsp;= 10 m/s @ 310 degrees</p><p><b>B</b>&nbsp;= 25 m/s @ 225 degrees</p><p>Round your answers to the nearest hundredth.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>-11.25i-25.34j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;-11.25i-25.34j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15043-12791 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Addition from Magnitude/Direction 3</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Add the following vectors <b>A+B</b>&nbsp;giving your answer in i/j form:</p><p><b>A</b>&nbsp;= 10 m/s @ 25 degrees</p><p><b>B</b>&nbsp;= 25 m/s @ 115 degrees</p><p>Round your answers to the nearest hundredth.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>9.68i+26.88j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;9.68i+26.88j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15044-12792 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Addition from Magnitude/Direction 4</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Add the following vectors <b>A+B</b>&nbsp;giving your answer in i/j form:</p><p><b>A</b>&nbsp;= 25 m/s @ 230 degrees</p><p><b>B</b>&nbsp;= 2 m/s @ 35 degrees</p><p>Round your answers to the nearest hundredth.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>-14.43i-19.47j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;-14.43i-19.47j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15045-12793 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Addition from Magnitude/Direction 5</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Add the following vectors <b>A+B</b>&nbsp;giving your answer in i/j form:</p><p><b>A</b>&nbsp;= 25 m/s @ 170 degrees</p><p><b>B</b>&nbsp;= 2 m/s @ 5 degrees</p><p>Round your answers to the nearest hundredth.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>-22.63i+4.52j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;-22.63i+4.52j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- categoryid: 1353 -->
 <question type="category"><category><text></text></category></question>
 
 <!-- resourceid-resourcedataid: 15046-12794 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Subtraction from Magnitude/Direction 1</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Subtract the following vectors <b>A-B</b>&nbsp;giving your answer in i/j form:</p><p><b>A</b>&nbsp;= 20 m/s @ 30 degrees</p><p><b>B</b>&nbsp;= 15 m/s @ 225 degrees</p><p>Round your answers to the nearest hundredth.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>27.93i+20.61j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;27.93i+20.61j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15047-12795 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Subtraction from Magnitude/Direction 2</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Subtract the following vectors <b>A-B</b>&nbsp;giving your answer in i/j form:</p><p><b>A</b>&nbsp;= 10 m/s @ 310 degrees</p><p><b>B</b>&nbsp;= 25 m/s @ 225 degrees</p><p>Round your answers to the nearest hundredth.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>24.11i+10.02j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;24.11i+10.02j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15048-12796 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Subtraction from Magnitude/Direction 3</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Subtract the following vectors <b>A-B</b>&nbsp;giving your answer in i/j form:</p><p><b>A</b>&nbsp;= 10 m/s @ 25 degrees</p><p><b>B</b>&nbsp;= 25 m/s @ 115 degrees</p><p>Round your answers to the nearest hundredth.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>19.63i-18.43j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;19.63i-18.43j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15049-12797 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Subtraction from Magnitude/Direction 4</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Subtract the following vectors <b>A-B</b>&nbsp;giving your answer in i/j form:</p><p><b>A</b>&nbsp;= 25 m/s @ 230 degrees</p><p><b>B</b>&nbsp;= 2 m/s @ 35 degrees</p><p>Round your answers to the nearest hundredth.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>-17.71i-20.30j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;-17.71i-20.30j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15050-12798 -->
 <question type="shortanswerwiris">
    <name>
      <text>Vector Subtraction from Magnitude/Direction 5</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Subtract the following vectors <b>A-B</b>&nbsp;giving your answer in i/j form:</p><p><b>A</b>&nbsp;= 25 m/s @ 170 degrees</p><p><b>B</b>&nbsp;= 2 m/s @ 5 degrees</p><p>Round your answers to the nearest hundredth.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>-26.61i+4.17j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;-26.61i+4.17j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_string"/&gt;&lt;assertion name="equivalent_literal"&gt;&lt;param name="usecase"&gt;false&lt;/param&gt;&lt;param name="usespaces"&gt;false&lt;/param&gt;&lt;/assertion&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;textField&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- categoryid: 1354 -->
 <question type="category"><category><text></text></category></question>
 
 <!-- resourceid-resourcedataid: 15051-12799 -->
 <question type="shortanswerwiris">
    <name>
      <text>Scalar Multiplication from Magnitude/Direction 1</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Multiply the following vector <b>A</b>&nbsp;by the scalar -3:</p><p><b>A </b>= 30 m/s @ 150 degrees</p><p>Express your answer in i/j form rounded to the nearest hundredth. &nbsp;Make sure your magnitude is positive.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>77.94i-45j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;77.94i-45j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15052-12800 -->
 <question type="shortanswerwiris">
    <name>
      <text>Scalar Multiplication from Magnitude/Direction 2</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Multiply the following vector <b>A</b>&nbsp;by the scalar 3:</p><p><b>A </b>= 30 m/s @ 150 degrees</p><p>Express your answer in i/j form rounded to the nearest hundredth. &nbsp;Make sure your magnitude is positive.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>77</mn><mo>.</mo><mn>94</mn><mi mathvariant="normal">i</mi><mo>-</mo><mn>45</mn><mi mathvariant="normal">j</mi></math>]]></text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer type="mathml"&gt;&lt;![CDATA[&lt;math xmlns="http://www.w3.org/1998/Math/MathML"&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;77&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;94&lt;/mn&gt;&lt;mi mathvariant="normal"&gt;i&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;45&lt;/mn&gt;&lt;mi mathvariant="normal"&gt;j&lt;/mi&gt;&lt;/math&gt;]]&gt;&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_expression"/&gt;&lt;assertion name="equivalent_symbolic"/&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;inlineEditor&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"/&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15053-12801 -->
 <question type="shortanswerwiris">
    <name>
      <text>Scalar Multiplication from Magnitude/Direction 3</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Multiply the following vector <b>A</b>&nbsp;by the scalar 2:</p><p><b>A </b>= 10 m/s @ 45 degrees</p><p>Express your answer in i/j form rounded to the nearest hundredth. &nbsp;Make sure your magnitude is positive.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>14</mn><mo>.</mo><mn>14</mn><mi mathvariant="normal">i</mi><mo>+</mo><mn>14</mn><mo>.</mo><mn>14</mn><mi mathvariant="normal">j</mi></math>]]></text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer type="mathml"&gt;&lt;![CDATA[&lt;math xmlns="http://www.w3.org/1998/Math/MathML"&gt;&lt;mn&gt;14&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;14&lt;/mn&gt;&lt;mi mathvariant="normal"&gt;i&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;14&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;14&lt;/mn&gt;&lt;mi mathvariant="normal"&gt;j&lt;/mi&gt;&lt;/math&gt;]]&gt;&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_expression"/&gt;&lt;assertion name="equivalent_symbolic"/&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;inlineEditor&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"/&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15054-12802 -->
 <question type="shortanswerwiris">
    <name>
      <text>Scalar Multiplication from Magnitude/Direction 4</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Multiply the following vector <b>A</b>&nbsp;by the scalar -2:</p><p><b>A </b>= 10 m/s @ 45 degrees</p><p>Express your answer in i/j form rounded to the nearest hundredth. &nbsp;Make sure your magnitude is positive.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>14</mn><mo>.</mo><mn>14</mn><mi mathvariant="normal">i</mi><mo>-</mo><mn>14</mn><mo>.</mo><mn>14</mn><mi mathvariant="normal">j</mi></math>]]></text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer type="mathml"&gt;&lt;![CDATA[&lt;math xmlns="http://www.w3.org/1998/Math/MathML"&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;14&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;14&lt;/mn&gt;&lt;mi mathvariant="normal"&gt;i&lt;/mi&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mn&gt;14&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;14&lt;/mn&gt;&lt;mi mathvariant="normal"&gt;j&lt;/mi&gt;&lt;/math&gt;]]&gt;&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_expression"/&gt;&lt;assertion name="equivalent_symbolic"/&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-3)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;true&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;inlineEditor&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"/&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 15055-12803 -->
 <question type="shortanswerwiris">
    <name>
      <text>Scalar Multiplication from Magnitude/Direction 5</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>Multiply the following vector <b>A</b>&nbsp;by the scalar -1:</p><p><b>A </b>= 10 m/s @ 45 degrees</p><p>Express your answer in i/j form rounded to the nearest hundredth. &nbsp;Make sure your magnitude is positive.</p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text>-7.07i-7.07j</text>
      <feedback format="html">
        <text></text>
      </feedback>
    </answer>
    <wirisquestion>
&lt;question&gt;&lt;correctAnswers&gt;&lt;correctAnswer&gt;-7.07i-7.07j&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 </quiz>
