1. Consider the line L that passes through the points A(1,-2, 5) and B(7,-5, 14). Let P(8,4, 7) be a point that is not on L. Let R be the point on L that is closest to P. (a) Draw a sketch that shows all information given. (b) Find the point R. (c) Find the distance from P to L.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 9E
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1. Consider the line L that passes through the points A(1,-2, 5) and B(7,-5, 14). Let P(8,4, 7) be a point
that is not on L. Let R be the point on L that is closest to P.
(a) Draw a sketch that shows all information given.
(b) Find the point R.
(c) Find the distance from P to L.
Transcribed Image Text:1. Consider the line L that passes through the points A(1,-2, 5) and B(7,-5, 14). Let P(8,4, 7) be a point that is not on L. Let R be the point on L that is closest to P. (a) Draw a sketch that shows all information given. (b) Find the point R. (c) Find the distance from P to L.
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