Calculus 8th Edition

Published by Cengage

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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