Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 3 - Vectors in Physics - Problems and Conceptual Exercises - Page 78: 34

Answer

Please see the work below.

Work Step by Step

We can express the given vectors in unit vector notations as follows: $\vec A=(1.5m)cos(40^{\circ})\hat x+(1.5m)sin (40^{\circ})\hat y$ $\vec A=(1.1m)\hat x+(0.96)\hat y$ The vector B can be expressed as $\vec B=(2.0m)cos(-19^{\circ})\hat x-(2.0m)sin(-19^\circ)\hat y$ $\vec B=(1.9m)\hat x+(-0.65m)\hat y$ The vector C can be expressed as $\vec C=(1.0m)cos(180^{\circ}-25^{\circ})+(1.0m)sin(180^{\circ}-25^{\circ})\hat y$ $\vec C=(-0.91m)\hat x+(0.42m)\hat y$ The vector D can be expressed as $\vec D=0 \hat x+(1.5m)\hat y$
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