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: 6

Answer

$ v=mw $

Work Step by Step

We know that the cross product is zero for perpendicular vectors. Two vectors are perpendicular if they are scalar multiples of each other. Thus, the cross product $ v\times w $ is zero whenever $ v=mw $ where $ m\in R $.
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