Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 5 - Inner Product Spaces - 5.1 Length and Dot Product in Rn - 5.1 Exercises - Page 235: 40


$\arccos\left( \frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}\right)$.

Work Step by Step

The angle between the vectors $$\mathbf{u}=\left(\cos \frac{\pi}{3}, \sin \frac{\pi}{3}\right), \quad \mathbf{v}=\left(\cos \frac{\pi}{4}, \sin \frac{\pi}{4}\right)$$ is given by $$\arccos\left( \frac{u\cdot v}{\|u\| \|v\|}\right)=\arccos\left( \frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}\right)$$
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