University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 11 - Section 11.3 - The Dot Product - Exercises - Page 617: 37

Answer

$-x-y=1$

Work Step by Step

The result of exercise 32 tells us that ${\bf v}=\langle a,\ b \rangle$ is parallel to the lines $bx-ay=c$. Here, ${\bf v}=\langle 1,\ -1 \rangle$ and the lines are $-x-y=c.$ Since $P(-2,1)$ is on the line, its coordinates satisfy the line equation $\left\{\begin{array}{l} -(-2)-(1)=c\\ c=1 \end{array}\right.$ So the line equation is: $\quad -x-y=1$ To graph the line, use the given point and $(-1,0)$.
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