Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 9 - Polar Coordinates; Vectors - Chapter Review - Chapter Test - Page 636: 21


$v_2$ and $v_3$

Work Step by Step

If a vector $v$ can be obtained by multiplying a vector $w$ by a constant, then $v$ and $w$ are parallel. If the dot product of two vectors is $0$ then they are orthogonal. $(-3i-6j)(-8i+4j)=(-3)(-8)+(-6)(4)=24-24=0$, hence $v_2$ and $v_3$ are orthogonal.
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