Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 7 - Section 7.6 - Vectors: The Dot Product - 7.6 Problem Set - Page 411: 33



Work Step by Step

If the vectors are perpendicular, their dot product must be zero. Dot product$=(-4,-3)\cdot(6,-8)=-4(6)-3(-8)=-24+24=0$. Therefore, $-4\textbf {i}-3\textbf {j}$ and $6\textbf {i}-8\textbf {j}$ are perpendicular.
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