Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 8 - 8.4 - Vectors and Dot Products - 8.4 Exercises - Page 595: 33



Work Step by Step

$\theta=cos^{-1}\frac{u\cdot v}{|u||v|}=cos^{-1}\frac{(2i-j)(6i-3j)}{\sqrt {(2i-j)(2i-j)}\sqrt {(6i-3j)(6i-3j)}}=cos^{-1}\frac{12+3}{\sqrt {4+1}\sqrt {36+9}}=cos^{-1}(\frac{15}{\sqrt {225}})=cos^{-1}1$ $\theta=0$
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