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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>Calcula:</div><div>a) <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover accent=¨true¨»«mi»u«/mi»«mo»§#8594;«/mo»«/mover»«mo»·«/mo»«mover accent=¨true¨»«mi»v«/mi»«mo»§#8594;«/mo»«/mover»«mo»=«/mo»«/math»</span>{:SA:=#esc}</div><div>b)</div><div><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨|¨ open=¨|¨»«mover accent=¨true¨»«mi»u«/mi»«mo»§#8594;«/mo»«/mover»«/mfenced»«mo»=«/mo»«/math»</span>{:SA:=#mod_u} <font class="Apple-style-span" size="2">(escriu ___^(1/2) per expressar l'arrel quadrada)</font></div><div><span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced close=¨|¨ open=¨|¨»«mover accent=¨true¨»«mi»v«/mi»«mo»§#8594;«/mo»«/mover»«/mfenced»«mo»=«/mo»«/math»</span>{:SA:=#mod_v} <font class="Apple-style-span" size="2">(escriu ___^(1/2) per expressar l'arrel quadrada)</font></div><div>c) Calcula l'angle <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#945;«/mi»«mo»=«/mo»«mover»«mrow»«mover accent=¨true¨»«mi»u«/mi»«mo»§#8594;«/mo»«/mover»«mover accent=¨true¨»«mi»v«/mi»«mo»§#8594;«/mo»«/mover»«/mrow»«mo»^«/mo»«/mover»«/math»</span> que formen els vectors <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover accent=¨true¨»«mi»u«/mi»«mo»§#8594;«/mo»«/mover»«mi»i«/mi»«mo»§nbsp;«/mo»«mover accent=¨true¨»«mi»v«/mi»«mo»§#8594;«/mo»«/mover»«/math»</span> <span class="nolink">«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»§#945;«/mi»«mo»=«/mo»«/math»</span>{:SA:=#alpha}º (expressa-ho en graus)</div>
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Monday, 15 July 2013, 9:11 AM
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