Algebra and Trigonometry 10th Edition

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

Chapter 8 - Review Exercises - Page 618: 94

Answer

$W=72$

Work Step by Step

Let $u$ be the vector from $P$ to $Q$ $u=(-12,8)-(-2,-9)=[-12-(-2),-9-8)=(-12+2,-9-8)=(-10,-17)=-10i=17j$ Now, let's find the dot product of $u$ and $v$: $W=u.v=(-10i-17j)(3i-6j)=-10\times3-17\times(-6)=-30+102=72$
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