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: 25

Answer

$(7,2)$ $(7,3)$ $(2,3)$

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 $\overrightarrow{QU},\overrightarrow{PT},\overrightarrow{RS}$ and the corresponding vectors $\overrightarrow{OU'},\overrightarrow{OT'},\overrightarrow{OS'}$ by translating the given vectors in the origin: $\overrightarrow{QU}=(6-(-1),4-2)=(7,2)=\overrightarrow{OU'}$ $\overrightarrow{PT}=(4-(-3),2-(-1))=(7,3)=\overrightarrow{OT'}$ $\overrightarrow{RS}=(3-1,5-2)=(2,3)=\overrightarrow{OS'}$
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