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 768: 21

Answer

a) $3\overrightarrow{u}+3\overrightarrow{v}$ b) $\overrightarrow{u}+2\overrightarrow{v}$ c) $2\overrightarrow{u}+5\overrightarrow{v}$ d) $-2\overrightarrow{u}+3\overrightarrow{v}$ e) $3\overrightarrow{u}+2\overrightarrow{v}$ f) $-3\overrightarrow{u}-2\overrightarrow{v}$ g) $-2\overrightarrow{u}-4\overrightarrow{v}$ h) $\overrightarrow{u}-4\overrightarrow{v}$ i) $-\overrightarrow{u}-6\overrightarrow{v}$

Work Step by Step

For the first two sums we draw graphs. a) $\overrightarrow{OE}=3\overrightarrow{u}+3\overrightarrow{v}$ b) $\overrightarrow{OB}=\overrightarrow{u}+2\overrightarrow{v}$ c) $\overrightarrow{OF}=2\overrightarrow{u}+5\overrightarrow{v}$ d) $\overrightarrow{OG}=-2\overrightarrow{u}+3\overrightarrow{v}$ e) $\overrightarrow{OC}=3\overrightarrow{u}+2\overrightarrow{v}$ f) $\overrightarrow{OI}=-3\overrightarrow{u}-2\overrightarrow{v}$ g) $\overrightarrow{OJ}=-2\overrightarrow{u}-4\overrightarrow{v}$ h) $\overrightarrow{OK}=\overrightarrow{u}-4\overrightarrow{v}$ i) $\overrightarrow{OL}=-\overrightarrow{u}-6\overrightarrow{v}$
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