Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 12: Vectors and the Geometry of Space - Section 12.2 - Vectors - Exercises 12.2 - Page 704: 5

Answer

$\lt 12,-19\gt$ and $\sqrt {505}$

Work Step by Step

The magnitude of a vector is:$|n|=\sqrt{n_1^2+n_2^2}$ Now, $2u -2v=2\lt 3,-2 \gt -2\lt -2,5 \gt =\lt 12,-19\gt$ and $|\lt 12,-19\gt|=\sqrt{(12)^2+(-19)^2}=\sqrt {505}$ Hence, we have $\lt 12,-19\gt$ and $\sqrt {505}$
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