Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.6 - Vectors - Exercise Set - Page 782: 35

Answer

$\sqrt{116}$

Work Step by Step

Therefore, $\begin{align} & 2\mathbf{u}=\left[ 2\times \left( 2 \right) \right]\mathbf{i}+\left[ 2\times \left( -5 \right) \right]\mathbf{j} \\ & =4\mathbf{i}-10\mathbf{j} \end{align}$ And $\begin{align} & \left\| 2\mathbf{u} \right\|=\sqrt{{{4}^{2}}+{{10}^{2}}} \\ & =\sqrt{16+100} \\ & =\sqrt{116} \end{align}$
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