Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 8 - Polar Coordinates; Vectors - Section 8.6 Vectors in Space - 8.6 Assess Your Understanding - Page 645: 15

Answer

$\sqrt {21}$

Work Step by Step

In this case $P_{1}$ is at origin. So the distance formula reduces to d= $\sqrt {x^{2}+y^{2}+z^{2}}$. Substituting $x= 4, y= 1,$ and $z=2$, we obtain $d= \sqrt {4^{2}+1^{2}+2^{2}}= \sqrt {21}$
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