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: 3

Answer

$\lt 1,3\gt$ and $\sqrt {10}$

Work Step by Step

The magnitude of a vector is:$|n|=\sqrt{n_1^2+n_2^2}$ Since, $u=\lt 3,-2 \gt$ and $v=\lt -2,5 \gt $ Thus, $u+v=\lt 3,-2 \gt+\lt -2,5 \gt =\lt 1,3\gt$ and $|\lt 1,3\gt|=\sqrt{1^2+(3)^2}=\sqrt{1+9}=\sqrt {10}$ Therefore, answers are: $\lt 1,3\gt$ and $\sqrt {10}$
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