Calculus (3rd Edition)

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

Chapter 13 - Vector Geometry - Chapter Review Exercises - Page 701: 4


$$\|v+w\|= \sqrt{10}.$$

Work Step by Step

Since $ v=\langle -2,5\rangle $ and $ w=\langle 3,-2\rangle $, then we have $$ v+w=\langle -2,5 \rangle+\langle 3,-2 \rangle =\langle 1,3 \rangle.$$ Hence, the length of $ v+w $ is given by $$\|v+w\|=\sqrt{1^2+3^2}=\sqrt{10}.$$
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