Essential University Physics: Volume 1 (4th Edition)

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 11 - Exercises and Problems - Page 208: 42


Please see the work below.

Work Step by Step

It is given that $\vec{A}^{\,}.\vec{B}^{\,}=\frac{1}{2}|\vec{A}^{\,}\times \vec{B}^{\,}|$ We know that $\vec{A}^{\,}.\vec{B}^{\,}=ABcos\theta$ $\vec{A}^{\,}\times \vec{B}^{\,}=ABsin\theta$ $\implies ABcos\theta=\frac{1}{2} ABsin\theta$ $2=tan\theta$ $\theta=tan^{-1}(2)=63.4^{\circ}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.