Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 11 - Work - Exercises and Problems: 1

Answer

(a) $A \cdot B = -18$ (b) $A \cdot B = 10$

Work Step by Step

We can use the formula for the dot product of two vectors $A$ and $B$: $A\cdot B = A_x~B_x + A_y~B_y$ (a) $A \cdot B = A_x~B_x + A_y~B_y$ $A \cdot B = (3)(2)+(4)(-6)$ $A \cdot B = -18$ (b) $A \cdot B = A_x~B_x + A_y~B_y$ $A \cdot B = (3)(6)+(-2)(4)$ $A \cdot B = 10$
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