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 12.5 - Lines and Planes in Space - Exercises 12.5 - Page 727: 34



Work Step by Step

The distance formula for two vectors can be calculated as: $d=\dfrac{|p \times q|}{|q|}$ and $p \times q=\lt -13,16,5\gt $ so,$|p \times q|=\sqrt{(-13)^2+(16)^2+(5)^2}=15 \sqrt 2$ Thus, $d=\dfrac{15 \sqrt 2}{5 \sqrt 2}=3$
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