Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - 13.3 Dot Product and the Angle Between Two Vectors - Exercises - Page 666: 44



Work Step by Step

\begin{align*} \cos \theta &=\frac{v \cdot w}{\|v\|\|w\|}\\ &=\frac{\frac{1}{2}\|v\|\|w\|}{\|v\|\|w\|}\\ &=\frac{1}{2}. \end{align*} That is $$\theta=\frac{\pi}{3}.$$
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