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: 58

Answer

$\langle3+\frac{5\sqrt 2}{2}, \frac{5\sqrt 2}{2} \rangle$

Work Step by Step

1. Assign vectors: the original velocity of salmon $\vec {v_1}=5cos45^{\circ}i+5cos45^{\circ}j=\frac{5\sqrt 2}{2}i+\frac{5\sqrt 2}{2}j$, the velocity of water $\vec {v_2}=3i+0j$ 2. The true velocity of the fish is the sum of the two velocities above $\vec {v}=(3+\frac{5\sqrt 2}{2})i+\frac{5\sqrt 2}{2}j$ 3. We can also write the results in the form of $\vec {v}=\langle3+\frac{5\sqrt 2}{2}, \frac{5\sqrt 2}{2} \rangle$
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