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: 6

Answer

$-pq$

Work Step by Step

Given: $ a = (p,-p, 2p)$ and $b=(2q,q,-q)$ $ a \cdot b=p \cdot 2q+(-p) \cdot q+ 2p \cdot q$ $a \cdot b=p \cdot 2q+(-p) \cdot q+ 2p \cdot q=2pq-pq-2pq$ $=-pq$
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