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: 13

Answer

$7 ; \lt \dfrac{2}{7},\dfrac{-3}{7},\dfrac{6}{7}\gt$

Work Step by Step

Here, $|v|=\sqrt{(2)^2+(-3)^2+(6)^2}=\sqrt {49}=7$ The unit vector $\hat{\textbf{u}}$ can be calculated as: $\hat{\textbf{u}}=\dfrac{v}{|v|}$ Now, $\hat{\textbf{u}}=\dfrac{\lt 2,-3,6 \gt}{7}= \lt \dfrac{2}{7},\dfrac{-3}{7},\dfrac{6}{7}\gt$ Thus, our final answers are: $7 ; \lt \dfrac{2}{7},\dfrac{-3}{7},\dfrac{6}{7}\gt$
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