University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 11 - Section 11.4 - The Cross Product - Exercises - Page 622: 4

Answer

${\bf u}\times{\bf v}$ has length $0$ and no direction ${\bf v}\times{\bf u}$ has length $0$ and no direction

Work Step by Step

By property 5 (see "Properties of the Cross Product" box on p. 618) ${\bf w}={\bf u}\times{\bf 0}={\bf 0}$ (zero vector has length 0 and no direction) By property 3, ${\bf v}\times{\bf u}=-{\bf w}=(-{\bf 0})={\bf 0}$
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