## Calculus 8th Edition

Published by Cengage

# Chapter 12 - Vectors and the Geometry of Space - 12.3 The Dot Product - 12.3 Exercises: 49

#### Answer

$W=144$ J

#### Work Step by Step

Calculate the distance between the points $(0,10,8),(6,12,20)$ Then $d^ {\to}=(6-0,12-10,20-8)=(6,2,12)$ $F=8i-6j+9k$ Express the force as a vector. $F^ {\to}=\lt 8, -6, 9\gt$ As we know Work done, $W=F^{\to}.d^{\to}$ $=\lt 8, -6, 9\gt. \lt 6,2,12\gt$ $= 8 \times 6+ (-6) \times 2+ 9\times 12$ $=48-12+108$ Hence, $W=144$ J

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