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. Edit A B Use the method above to find the distance from the point P(-3, 1, 8) to the line through A(1,1,0) and B(-2,3,–4). NOTE: Enter the exact answer. 429 Distance =

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.CT: Chapter Test
Problem 7CT
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X Your answer is incorrect.
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
Edit
of the component of the vector AP that is orthogonal to the vector AB.
L
A
B
Use the method above to find the distance from the point P(-3,1,8)
to the line through A(1, 1,0) and B(-2,3, –4).
NOTE: Enter the exact answer.
V429
Distance
Transcribed Image Text:X Your answer is incorrect. 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 Edit of the component of the vector AP that is orthogonal to the vector AB. L A B Use the method above to find the distance from the point P(-3,1,8) to the line through A(1, 1,0) and B(-2,3, –4). NOTE: Enter the exact answer. V429 Distance
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