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: 24

Answer

See drawing

Work Step by Step

We are given the points: $P(-3,-1)$ $Q(-1,2)$ $R(1,2)$ $S(3,5)$ $T(4,2)$ $U(6,4)$ Sketch $\overrightarrow{PU},\overrightarrow{TR},\overrightarrow{SQ}$ and the corresponding vectors $\overrightarrow{OU'},\overrightarrow{OR'},\overrightarrow{OQ'}$ by translating the given vectors in the origin: $\overrightarrow{PU}(6-(-3),4-(-1))=(9,5)=\overrightarrow{OU'}$ $\overrightarrow{TR}(1-4,2-2)=(-3,0)=\overrightarrow{OR'}$ $\overrightarrow{SQ}(-1-3,2-5)=(-4,-3)=\overrightarrow{OQ'}$
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