The distance d of a point P to the line through points A and B is the length of the component of AP that is orthogonal to AB, as indicated in the diagram. So the distance from P = (-5,4, 1) to the line through the points A = (5, 5, 4) and B = (3,0, –4) is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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The distance d of a point P to the line through points A and B is the length of the component of AP that is orthogonal to
AB, as indicated in the diagram.
So the distance from P = (-5,4, 1) to the line through the points A = (5, 5, 4) and B = (3,0, –4) is
Transcribed Image Text:The distance d of a point P to the line through points A and B is the length of the component of AP that is orthogonal to AB, as indicated in the diagram. So the distance from P = (-5,4, 1) to the line through the points A = (5, 5, 4) and B = (3,0, –4) is
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