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 B Use the method above to find the distance from the point P(-3,1, 12) to the line through A(1,1,0) and B(-2,3, –4). NOTE: Enter the exact answer. Distance = %3D
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 B Use the method above to find the distance from the point P(-3,1, 12) to the line through A(1,1,0) and B(-2,3, –4). NOTE: Enter the exact answer. Distance = %3D
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.
P
L
B
Use the method above to find the distance from the point P(-3,1, 12)
to the line through A(1,1,0) and B(-2,3, –4).
NOTE: Enter the exact answer.
Distance =
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe029c24c-1a5e-4cc1-9c05-01a992de6a4a%2Feb86443a-c7c8-4214-b325-4a8ac3af353f%2Ftcd2vji_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.
P
L
B
Use the method above to find the distance from the point P(-3,1, 12)
to the line through A(1,1,0) and B(-2,3, –4).
NOTE: Enter the exact answer.
Distance =
%3D
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