Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 12 - Vectors and the Geometry of Space - 12.3 The Dot Product - 12.3 Exercises - Page 853: 53



Work Step by Step

Scalar projection distance formula: $\dfrac{|ax_1+by_1+c|}{\sqrt {a^2+b^2}}$ Distance from the point $(-2,3)$ to the line $3x-4y+5=0$ Thus, $\dfrac{|ax_1+by_1+c|}{\sqrt {a^2+b^2}}=\dfrac{|3(-2)+-4(3)+5|}{\sqrt {3^2+(-4)^2}}$ $=\dfrac{|-6-12+5|}{\sqrt {9+16}}$ $=\dfrac{13}{5}$
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