Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 9 - Work and Kinetic Energy - Exercises and Problems: 11

Answer

(a) $A \cdot B = -2$ (b) $A \cdot B = 0$

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) $A \cdot B = A_x~B_x + A_y~B_y$ $A \cdot B = (4)(-2)+(-2)(-3)$ $A \cdot B = -2$ (b) $A \cdot B = A_x~B_x + A_y~B_y$ $A \cdot B = (-4)(2)+(2)(4)$ $A \cdot B = 0$
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