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 В Use the method above to find the distance from the point P(-3, 1, 7) to the line through A(1, 1,0) and B(-2,3, -4). NOTD.
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 В Use the method above to find the distance from the point P(-3, 1, 7) to the line through A(1, 1,0) and B(-2,3, -4). NOTD.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6
![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
В
Use the method above to find the distance from the point P(-3, 1,7)
to the line through A(1, 1,0) and B(-2,3, -4).
NOTD](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90d420c0-39bc-4236-8c0f-f478b4b87c6e%2F68fbe55c-e674-4e25-9580-d825081a3914%2Flsrcjz_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.
A
В
Use the method above to find the distance from the point P(-3, 1,7)
to the line through A(1, 1,0) and B(-2,3, -4).
NOTD
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