Answer
$$\theta=\frac{\pi}{3}.$$
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 $$\theta=\frac{\pi}{3}.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
