P 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. Distance 6.002872875
P 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. Distance 6.002872875
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
Please answer this correctly with understandable solution. thank you
![P
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.
Distance
6.002872875](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4dad939-721e-42c1-855a-e1275d121ab7%2F80e7c9ed-1f87-4290-8419-7361aed054f8%2Frg9c7d_processed.png&w=3840&q=75)
Transcribed Image Text:P
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.
Distance
6.002872875
![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.
L
A
В
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4dad939-721e-42c1-855a-e1275d121ab7%2F80e7c9ed-1f87-4290-8419-7361aed054f8%2Fmbym69_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.
L
A
В
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.
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