Trigonometry (10th Edition)

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

Chapter 7 - Applications of Trigonometry and Vectors - Summary Exercises on Applications of Trigonometry and Vectors - Page 339: 7b

Answer

The speed of the wind $3v$ is 30 mph. The wind $3v$ is 3 times faster than $v$ and it is blowing in the same direction as $v$.

Work Step by Step

$v = 6~i+8~j$ $3v = 18~i+24~j$ The speed of the wind is the magnitude of the vector $3v$. We can find the magnitude of the vector $3v$: $\vert 3v \vert = \sqrt{18^2+24^2}$ $\vert 3v \vert = 30$ The speed of the wind $3v$ is 30 mph. The wind $3v$ is 3 times faster than $v$ and it is blowing in the same direction as $v$.
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