(3) (5 pts) Consider two vectors A, B which has the following forms: A = A,i + A,3 + A¸k, B = B,ì + B,} + B,k Suppose we denote the cross product between these two vectors as C = A x B. %3D (a) (2.5 pts) Show that the components of the cross product of these two vectors may be written as: Ca = AyB, – A,By Cy = A,B, A, B2 | C2 = A, By – AyB, - (b) (2.5 pts) Prove now that A C = 0.

(3) (5 pts) Consider two vectors A, B which has the following forms: A = A,i + A,3 + A¸k, B = B,ì + B,} + B,k Suppose we denote the cross product between these two vectors as C = A x B. %3D (a) (2.5 pts) Show that the components of the cross product of these two vectors may be written as: Ca = AyB, – A,By Cy = A,B, A, B2 | C2 = A, By – AyB, - (b) (2.5 pts) Prove now that A C = 0.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 8PQ

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