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Unformatted text preview: the cross product of two vectors is always a vector . ~u ~v = k u 1 u 2 u 3 v 1 v 2 v 3 = u 2 u 3 v 2 v 3  u 1 u 3 v 1 v 3 + u 1 u 2 v 1 v 2 k ~u ~v =~v ~u ~u ~v = 0 ~u k ~v  ~u ~v  =  ~u  ~v  cos The direction of ~u ~v is perpendicular to both ~u and ~v , oriented according to the righthand rule. The magnitude  ~u ~v  is equal to the area of the parallelogram spanned by ~u and ~v . Equation for a plane: ~ N ( ~ r~ r ) = 0...
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 Spring '07
 McClain
 Math, Calculus

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