P to the line L is equal P that is orthogonal to t

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 48E
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If L is a line in 2-space or 3-space that passes through the points A and
B, then the distance from a point P to the line L is equal to the length
of the component of the vector AP that is orthogonal to the vector AB.
A
В
Use the method above to find the distance from the point P(-3,1,4)
to the line through A(1, 1,0) and B(-2,3, –4).
NOTE: Enter the exact answer.
Distance
!!!
Transcribed Image Text:Question 5 of 8 > - /5 View Policies Current Attempt in Progress If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from a point P to the line L is equal to the length of the component of the vector AP that is orthogonal to the vector AB. A В Use the method above to find the distance from the point P(-3,1,4) to the line through A(1, 1,0) and B(-2,3, –4). NOTE: Enter the exact answer. Distance !!!
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