Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - 13.1 Vectors in the Plane - Exercises - Page 650: 35

Answer

$\overrightarrow{AB}$ and $\overrightarrow{PQ}$ are parallel. They point in opposite directions.

Work Step by Step

$$\overrightarrow{AB}=B-A=(-6,3)-(2,2)=(-8,1),$$ $$\overrightarrow{PQ}=Q-P=(17,4)-(9,5)=(8,-1).$$ Hence, $\overrightarrow{AB}$ and $\overrightarrow{PQ}$ are parallel. They point in opposite directions.
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