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: 17

Answer

a), c), e)

Work Step by Step

a) $v$ and $\overrightarrow{CE}$ have the same direction and magnitude, therefore $v=\overrightarrow{CE}$. b) $\dfrac{1}{2}\overrightarrow{HI}$ has the same magnitude as $\overrightarrow{CE}$, but not opposite direction. $\dfrac{1}{2}\overrightarrow{HI}\not=\overrightarrow{CE}$ c) $\dfrac{1}{3}\overrightarrow{OA}$ has the same magnitude as $\overrightarrow{CE}$ and the same direction. $\dfrac{1}{3}\overrightarrow{OA}=\overrightarrow{CE}$ d) $u$ doesn't have the same direction as $\overrightarrow{CE}$. $u\not=\overrightarrow{CE}$ e) $\dfrac{1}{2}\overrightarrow{IH}$ has the same magnitude as $\overrightarrow{CE}$ and the same direction. $\dfrac{1}{2}\overrightarrow{IH}=\overrightarrow{CE}$ So the true statements are a), c), e).
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