Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 12 - Vectors and Matrices - 12.4 The Dot Product - Exercises and Problems for Section 12.4 - Exercises and Problems - Page 520: 7

Answer

-2

Work Step by Step

Using the dot product, which tells us to multiply corresponding components and to then add, we find: $$\begin{pmatrix}1&6&0\end{pmatrix}\begin{pmatrix}0&2&1\end{pmatrix}+\begin{pmatrix}0&2&1\end{pmatrix}\begin{pmatrix}4&-7&0\end{pmatrix} \\ 12+\begin{pmatrix}0&2&1\end{pmatrix}\begin{pmatrix}4&-7&0\end{pmatrix} \\ 12-14 \\ -2$$
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