Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 11 - Three-Dimensional Space; Vectors - 11.3 Dot Product; Projections - Exercises Set 11.3 - Page 792: 1

Answer

a)$\vec{u}\cdot\vec{v}=-10; \cos\theta=-\frac{1}{\sqrt 5}-0.447$ b)$\vec{u}\cdot\vec{v}=-3; \cos\theta=-\frac{3}{\sqrt{58}}-0.394$ c)$\vec{u}\cdot\vec{v}=0; \cos\theta=0$ d)$\vec{u}\cdot\vec{v}=-20; \cos\theta=-\frac{20}{3\sqrt{70}}\approx -0.797$

Work Step by Step

The explanation is:
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