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: 2

Answer

$\lt 4,-10\gt$ and $2 \sqrt {29}$

Work Step by Step

Since, $-2v=-2\lt -2,5 \gt =\lt 4,-10\gt$ The magnitude of a vector is:$|n|=\sqrt{n_1^2+n_2^2}$ Now, $|\lt 4,-10\gt|=\sqrt{4^2+(-10)^2}=\sqrt {116}=2 \sqrt {29}$ Thus,answers are: $\lt 4,-10\gt$ and $2 \sqrt {29}$
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