Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.4 Vectors, Operations, and the Dot Product - 7.4 Exercises - Page 329: 29

Answer

We can sketch the vector $u$ and the vector $v$ so that their initial points coincide with an angle of $\theta = 27^{\circ}$ between the two vectors. When we complete the parallelogram, the resultant is the vector through the middle of the parallelogram.

Work Step by Step

$\vert u \vert = 12$ $\vert v \vert = 20$ $\theta = 27^{\circ}$ To sketch the resultant, we can sketch the vector $u$ and the vector $v$ so that their initial points coincide with an angle of $\theta = 27^{\circ}$ between the two vectors. Then we can use another copy of the vector $u$ and the vector $v$ to complete the parallelogram. The resultant is the vector through the middle of the parallelogram.
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