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: 23

Answer

See the figure below.

Work Step by Step

We have $$ v=\langle 0,2 \rangle, \quad w=\langle -2,4 \rangle $$ $$3v+w=3\langle 0,2 \rangle+\langle -2,4 \rangle=\langle -2,10 \rangle,$$ $$2v-2w=2\langle 0,2 \rangle-2\langle -2,4 \rangle=\langle 4,-4 \rangle.$$
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