Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 9 - Section 9.2 - The Dot Product - 9.2 Exercises - Page 646: 4

Answer

$W=\vec F \cdot \vec D$

Work Step by Step

By definition, the work $W$ done by a force $\vec F$ in moving an object along a vector $\vec D$ is a scalar equals to the product of the moving distance and the component of the force along that distance, this in turn equals to the dot product of the two vectors, so that $W=\vec F \cdot \vec D$
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