Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 9 - Section 9.1 - Vectors in Two Dimensions - 9.1 Exercises - Page 638: 55

Answer

$3.6$ mi/h

Work Step by Step

Let us consider that $v_1=$ Velocity of the swimmer and $v_2=$ Velocity of the river. Let $R$ be the resultant velocity of the swimmer. Thus, we have $R=v_1+v_2$ Here, $v_1=2i; v_2=-3j$ Then $R=2i-3j$ and $|R|=\sqrt{(2)^2+(-3)^2}=\sqrt {4+9}=\sqrt {13}$ or, $|R|=3.6$ mi/h
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