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Respecte a una <b>base ortonormal</b>, les coordenades de dos vectors són <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover accent=¨true¨»«mi»u«/mi»«mo»§#8594;«/mo»«/mover»«mo»=«/mo»«mi»#u«/mi»«/math»</span> i <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover accent=¨true¨»«mi»v«/mi»«mo»§#8594;«/mo»«/mover»«mo»=«/mo»«mi»#v«/mi»«/math»</span>.<div>Troba un vector <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover accent=¨true¨»«mi»w«/mi»«mo»§#8594;«/mo»«/mover»«/math»</span> perpendicular a <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover accent=¨true¨»«mi»u«/mi»«mo»§#8594;«/mo»«/mover»«/math»</span> i a <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover accent=¨true¨»«mi»v«/mi»«mo»§#8594;«/mo»«/mover»«/math»</span> on la primera component és la marcada:</div><div><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover accent=¨true¨»«mi»w«/mi»«mo»§#8594;«/mo»«/mover»«mo»=«/mo»«/math»</span>(#a,{:SA:=#b},{:SA:=#c})</div><div><br /></div><div>Calcula l'àrea del <b>triangle </b>determinat pels vectors <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover accent=¨true¨»«mi»u«/mi»«mo»§#8594;«/mo»«/mover»«mo»§nbsp;«/mo»«mi»i«/mi»«mo»§nbsp;«/mo»«mover accent=¨true¨»«mi»v«/mi»«mo»§#8594;«/mo»«/mover»«/math»</span></div><div>Àrea={:SA:=#at} u<sup>2</sup></div><div><sup>(recorda que l'arrel quadrada cal expressar-la amb ^(1/2) o bé posar fins a 3 decimals)</sup></div>
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Monday, 15 July 2013, 9:11 AM
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