Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - 13.4 The Cross Product - Preliminary Questions - Page 676: 4

Answer

(a) $0$. (b) $0$.

Work Step by Step

(a) It is clear that the cross product of a vector and itself is zero, that is, $$\langle 4,8,2\rangle\times \langle 4,8,2\rangle =0.$$ (a) It is clear that the cross product of a vector and its multiple is zero, that is, $$\langle 4,8,2\rangle\times \langle 2,4,1\rangle =2\langle 2,4,1\rangle\times \langle 2,4,1\rangle =0.$$
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