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 В Use the method above to find the distance from the point P(-3, 1, 3) to the line through A(1, 1,0) and B(-2,3, -4). NOTE: Enter the exact answer. Distance =
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 В Use the method above to find the distance from the point P(-3, 1, 3) to the line through A(1, 1,0) and B(-2,3, -4). NOTE: Enter the exact answer. Distance =
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
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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.
P
A
В
Use the method above to find the distance from the point P(-3, 1, 3)
to the line through A(1, 1,0) and B(-2,3, -4).
NOTE: Enter the exact answer.
Distance =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa7d36a5-4df8-4230-a1ed-d59f13c0f39a%2F67142084-580e-44c3-9e3b-f66fbe21ec26%2Fr5x80tl_processed.jpeg&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.
P
A
В
Use the method above to find the distance from the point P(-3, 1, 3)
to the line through A(1, 1,0) and B(-2,3, -4).
NOTE: Enter the exact answer.
Distance =
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