Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 3 - Vectors and Coordinate Systems - Exercises and Problems - Page 83: 26

Answer

$D = 4.4~\hat{i}+0.9~\hat{j}$

Work Step by Step

$D_x = 2A_x+B_x$ $D_x = (2~m)~sin(15^{\circ})+(4~m)~cos(15^{\circ})$ $D_x = 4.4~m$ $D_y = 2A_y+B_y$ $D_y = (2~m)~cos(15^{\circ})-(4~m)~sin(15^{\circ})$ $D_y = 0.9~m$ $D = 4.4~\hat{i}+0.9~\hat{j}$
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