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: 36

Answer

θ=48 °11'

Work Step by Step

u·v=1·4+2·0-2·(-3)=10 |u|=$\sqrt (1^2+2^2+(-2)^2$=3 |v|=$\sqrt (4^2+0+(-3)^2$=5 cos θ=$\frac{10}{3·5}$=$\frac{2}{3}$ θ=48 °11'
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