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: 33

Answer

$\sqrt 2$

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 $u \cdot v=-2(1)+(0)(-1)+6(0)=-2$ and $|u \cdot v|=|-2|=2$ Now, $d=\dfrac{|u \cdot v|}{|v|}=\dfrac{2}{ \sqrt {(1)^2+(-1)^2+(0)^2}}=\dfrac{2}{\sqrt {2}}=\sqrt 2$
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