Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 8 - Review Exercises - Page 617: 86


$u$ and $v$ are not orthogonal.

Work Step by Step

$u$ and $v$ are orthogonal vectors if and only if $u·v=0$ $u·v=⟨\frac{1}{4},-\frac{1}{2}⟩⋅⟨-2,4⟩=\frac{1}{4}(-2)+(-\frac{1}{2})(4)=-\frac{2}{4}-2=-\frac{1}{2}-\frac{4}{2}=-\frac{5}{2}$
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