Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 3 - Vectors and Coordinates Systems - Exercises and Problems - Page 78: 26

Answer

$ \vec D = 4.88\hat i + 2.80 \hat j$

Work Step by Step

We have $ \vec A = 2sin(15^o) \hat i + 2cos(15^o) \hat j $ $\vec A = 0.52 \hat i + 1.92 \hat j$ and $ \vec B = 4cos(15^o) \hat i - 4sin(15^o) \hat j $ $\vec B = 3.84 \hat i - 1.04 \hat j$ Now $ \vec D = 2\vec A + \vec B$ $ \vec D = 2( 0.52 \hat i + 1.92 \hat j) + 3.84 \hat i - 1.04 \hat j$ $ \vec D = 1.04 \hat i + 3.84 \hat j + 3.84 \hat i - 1.04 \hat j$ $ \vec D = 4.88\hat i + 2.80 \hat j$
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