Prove that : vector((a - b) x (a x b)) = 2vector(a x b) – InterviewSolution

1.

Prove that : vector((a - b) x (a x b)) = 2vector(a x b)

Answer»

L.H.S = vector((a - b) x (a x b))

= vector(a x a + a x b - b x a - b x b)(distributive law)

= vector(a x b - b x b) [∵ vector(a x a) = 0]

= vector((a x b) + (a x b)) = 2vector(a x b)

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