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lctr07_s12

# lctr07_s12 - 2.5VectorCrossProduct : ....

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§ 2.5  Vector Cross Product Multiplication of a Vector  by another vector : there are  infinitely   many ways  that we could  define what it means to multiply two vectors together.  Only a very small number of such  multiplication operations yield something physically meaningful.  Cross Product :   a specific multiplication operation that yields a  vector   perpendicular to the plane defined by the two vectors defining the cross.  It is useful for  finding  “moment of a force”,  which measures the  extent to which a force tends to impart  rotation .

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θ  is the angle between the tails of vectors  A  and  B    ( 0 °   θ 180 °  )  and  u  is a  unit vector that is perpendicular to the plane containing   A  and  B  as determined by the  right-hand rule   (wrap fingers from  A  to  B ).   u AB B A ˆ ) sin ( θ = × The vector cross product is  defined to be :
special commutative law A   x   B  =  -   B   x   A scalar multiplication a  ( A   x   B  ) = ( a   A)   x   B

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