Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 9 - Section 9.4 - Vectors in Three Dimensions - 9.4 Exercises - Page 658: 33

Answer

θ=116°23'

Work Step by Step

u·v=2·1-2·2-1·2=-4 |u|=$\sqrt (2^2+(-2)^2+(-1)^2)$=3 |v|=$\sqrt (1^2+2^2+2^2)$=3 cosθ=$\frac{-4}{3·3}$=$\frac{-4}{9}$ θ=116°23'
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