Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.5 - Applications of Vectors - Exercises - Page 344: 70

Answer

Vector $\textbf R$ and vector $ \textbf A$ must be parallel

Work Step by Step

We have: $V=|\textbf R\cdot \textbf A|= |\textbf R ||\textbf A| \cos\theta $ For $V$ to be maximum, $\cos\theta$ must have its maximum value $\cos\theta=1$, therefore $\theta$=0. This means that the vectors $\textbf R$ and $ \textbf A$ must be parallel to collect the maximum amount of water
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