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(3) (5 pts) Consider two vectors A, B which has the following forms: A = Axi + Ajj + Azk, B = Bri + Byj

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(3) (5 pts) Consider two vectors A, B which has the following forms: A = Axi + Ajj + Azk, B = Bri + Byj + Bzk Suppose we denote the cross product between these two vectors as C' = A x B. (a) (2.5 pts) Show that the components of the cross product of these two vectors may be written as: Cr = Ay Bz - Az By Cy = Az Br - Ar Bz Cz = Ar By - Ay Bx (b) (2.5 pts) Prove now that A . C = 0

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