Answer
FALSE.
Work Step by Step
We know the well proven result for two vectors $u$ and $v$,
$$(u\times v)=-(v\times u)$$.
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 11 - Vectors and the Geometry of Space - 11.4 Exercises - Page 782: 48
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