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 L A B Use the method above to find the distance from the point P(-3, 1, 11) to the line through A(1, 1,0) and B(-2,3, -4). NOTE: Enter the exact answer. Distance =| 10.084
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 L A B Use the method above to find the distance from the point P(-3, 1, 11) to the line through A(1, 1,0) and B(-2,3, -4). NOTE: Enter the exact answer. Distance =| 10.084
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
B
Use the method above to find the distance from the point P(-3, 1, 11)
to the line through A(1, 1,0) and B(-2,3,–4).
NOTE: Enter the exact answer.
Distance = 10.084](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F724e777c-2c72-4468-8323-6c5e379f16ec%2F983244fa-beb8-4fc9-a803-efdd67069982%2F591hltk_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
B
Use the method above to find the distance from the point P(-3, 1, 11)
to the line through A(1, 1,0) and B(-2,3,–4).
NOTE: Enter the exact answer.
Distance = 10.084
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