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: 18

Answer

b), c), e)

Work Step by Step

a) $6v$ and $\overrightarrow{BK}$ have the same magnitude, but not the same direction, therefore $6v\not=\overrightarrow{BK}$. b) $-6v$ and $\overrightarrow{BK}$ have the same magnitude and direction, therefore $-6v=\overrightarrow{BK}$. c) $3\overrightarrow{HI}$ has the same magnitude and direction as $\overrightarrow{BK}$, therefore $3\overrightarrow{HI}=\overrightarrow{BK}$ d) $3\overrightarrow{IH}$ has the same magnitude as $\overrightarrow{BK}$, but not the same direction, therefore $3\overrightarrow{IH}\not=\overrightarrow{BK}$ e) $2\overrightarrow{AO}$ has the same magnitude and direction as $\overrightarrow{BK}$, therefore $2\overrightarrow{AO}=\overrightarrow{BK}$ So the true statements are b), c), e).
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