Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 12 - Vectors and the Geometry of Space - 12.3 The Dot Product - 12.3 Exercises - Page 852: 9

Answer

$14 \sqrt 3$

Work Step by Step

$|a|=7,|b|=4$ , $ \theta =30^\circ$ Dot product formula: $a \cdot b=|a||b|cos \theta$ $a \cdot b=(7)(4)cos 30^\circ$ $a \cdot b=28(\frac{\sqrt 3}{2})$ $a \cdot b=14 \sqrt 3$
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