University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 11 - Practice Exercises - Page 638: 34

Answer

$\sqrt {14}$

Work Step by Step

The formula to calculate the distance for two vectors is given by: $d=\dfrac{|u \cdot v|}{|v|}$ Thus, we have $u \cdot v=-2(2)+(0)(3)+(-10)(1)=-14$ and $|u \cdot v|=|-14|=14$ Now, $d=\dfrac{|u \cdot v|}{|v|}=\dfrac{14}{ \sqrt {(2)^2+(3)^2+(1)^2}}=\dfrac{14}{\sqrt {14}}=\sqrt {14}$
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