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: 20

Answer

a) 2v; b) -2v; c) 3u; d) -5v; e) -3u.

Work Step by Step

a) $\overrightarrow{IH}$ has the same direction as $v$ and the magnitude 2 times as $v$, therefore $\overrightarrow{IH}=2v$. b) $\overrightarrow{HI}$ has the same direction as $-v$ and the magnitude 2 times as $v$, therefore $\overrightarrow{HI}=-2v$. c) $\overrightarrow{JK}$ has the same direction as $u$ and the magnitude 3 times as $u$, therefore $\overrightarrow{JK}=3u$. d) $\overrightarrow{FD}$ has the same direction as $-v$ and the magnitude 5 times as $v$, therefore $\overrightarrow{FD}=-5v$. e) $\overrightarrow{EA}$ has the same direction as $-u$ and the magnitude 3 times as $u$, therefore $\overrightarrow{EA}=-3u$.
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