Answered: Using index notation, prove the…

Using index notation, prove the following identities among vectors A, B, C, and D: (a) (A x B). (B × C) × (C x A) = (A · (B × C))². (b) (A x B) x (C x D) = [A · (C x D)]B – [B - (C x D]A.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 40E

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2.18 Using index notation, prove the following identities among vectors A, B, C, and D:
(a) (A x B). (B × C) × (C × A) = (A. (B x C))².
(b) (A x B) x (C x D) = [A · (C x D)]B – [B · (C x D]A.

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