Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 11 - Vectors and Vector-Valued Functions - 11.1 Vectors in the Plane - 11.1 Exercises - Page 767: 19

Answer

a) 3v; b) 2u; c) -3u; d) -2u; e) v

Work Step by Step

a) $\overrightarrow{OA}$ has the same direction as $v$ and the magnitude 3 times as $v$, therefore $\overrightarrow{OA}=3v$. b) $\overrightarrow{OD}$ has the same direction as $u$ and the magnitude 2 times as $u$, therefore $\overrightarrow{OD}=2u$. c) $\overrightarrow{OH}$ has the same direction as $-u$ and the magnitude 3 times as $u$, therefore $\overrightarrow{OH}=-3u$. d) $\overrightarrow{AG}$ has the same direction as $-u$ and the magnitude 2 times as $u$, therefore $\overrightarrow{AG}=-2u$. e) $\overrightarrow{CE}$ has the same direction as $v$ and the magnitude as $v$, therefore $\overrightarrow{CE}=v$.
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