Answer
$$(u+v)\cdot(u- v)= -8.$$
Work Step by Step
We have
$$(u+v)\cdot(u- v)=u\cdot u-u\cdot v+v\cdot u-v\cdot v=\| u\|^2-\| v\|^2\\
= 1^2-3^2=1-9=-8.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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: 42
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