Answer
FALSE
Work Step by Step
Consider $u=\lt1,1,1\gt $ and $v=\lt1,1,1\gt $
Then
$u\times v=0$ ( because both vectors are same)
But neither $u$ nor $v$ is zero.
Hence, the statement is false.
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 12 - Vectors and the Geometry of Space - Review - True-False Quiz - Page 882: 20
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