Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 7 - Section 7.5 - Vectors: An Algebraic Approach - 7.5 Problem Set - Page 404: 22

Answer

$V=-6i+3j.$

Work Step by Step

We draw the given vector by sketching an arrow from the origin ti the point $(-6,3)$, as shown in the figure. Since $I$ is vector of length $|$ in the positive a-direction, $-6i$ will be a vector of length $-6$ in that same direction. Similarly $3j$ will be a vector of length $3$ in the positive $y$-direction. Hence, $V$ is the resultant of vectors $-6i$ and $3j$. Therefore, we can write $V$ in terms of the unit vectors $i$ and $j$ as $V=-6i+3j.$
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