Answer
$u\cdot(cv+dw)=0$
Work Step by Step
$u$ is orthogonal to $v$ and $w$, that is:
$u\cdot v=0$ and $u\cdot w=0$
$u\cdot(cv+dw)=c(u\cdot v)+d(u\cdot w)=c(0)+d(0)=0$
That is, $u$ is also orthogonal to $cv+dw$.
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 8 - P.S. Problem Solving - Page 625: 7
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