#### Answer

False

#### Work Step by Step

Consider $u=\lt 1,0,0\gt$ and $v=\lt 0,1,0\gt$
Then $|u+v|=|\lt 1,1,0\gt|=(1^{2}+1^{2})=\sqrt 2$
and
$|u|+|v|=(1^{2}+0^{2}+0^{2})+(0^{2}+1^{2}+0^{2})=2$
Thus $\sqrt 2\ne 2$
Hence, the statement is false.

Published by
Cengage

ISBN 10:
1285740629

ISBN 13:
978-1-28574-062-1

False

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