Calculus (3rd Edition)

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

Chapter 13 - Vector Geometry - 13.3 Dot Product and the Angle Between Two Vectors - Exercises - Page 666: 40

Answer

$$(u+v)\cdot v=11.$$

Work Step by Step

We have $$(u+v)\cdot v=u\cdot v+v\cdot v=u\cdot v+\| v\|^2\\ =2+3^2=2+9=11.$$
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