Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - 13.1 Vectors in the Plane - Exercises - Page 649: 2

Answer

See the figure below.

Work Step by Step

Assume that the terminal point of the vector $ b=\langle 3,4\rangle $, is $(x,y)$, then we have $$\langle 3,4\rangle =(x,y) - (-2,-1)\Longrightarrow x=1, \quad y=3$$ and hence $ b $ is based at $(-2,-1) $ and the terminal point at $(1,3)$. So, we draw the vector $ b $ as in the following figure.
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