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 P A. Distance = A B L Use the method above to find the distance from the point P(-3, 1,5) to the line through A(1, 1, 0) and B(-2,3,-4). NOTE: Enter the exact answer.
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 P A. Distance = A B L Use the method above to find the distance from the point P(-3, 1,5) to the line through A(1, 1, 0) and B(-2,3,-4). NOTE: Enter the exact answer.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
Related questions
Question
![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
Distance =
A
P
B
L
Use the method above to find the distance from the point P(-3, 1,5)
to the line through A(1, 1, 0) and B(-2,3,-4).
NOTE: Enter the exact answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ae9cf15-f3e7-41e8-bfc5-4146eee2d71e%2Fda51c82e-de01-41a9-899c-b417fd751d27%2Ffj84kwg_processed.png&w=3840&q=75)
Transcribed Image Text: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
Distance =
A
P
B
L
Use the method above to find the distance from the point P(-3, 1,5)
to the line through A(1, 1, 0) and B(-2,3,-4).
NOTE: Enter the exact answer.
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