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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 1. L A B Use the method above to find the distance from the point P(-3,1,4) 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 1. L A B Use the method above to find the distance from the point P(-3,1,4) to the line through A(1,1,0) and B(-2,3, –4). NOTE: Enter the exact answer. Distance =

Advanced Engineering Mathematics
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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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 1. L A B Use the method above to find the distance from the point P(-3,1,4) to the line through A(1,1,0) and B(-2,3, –4). NOTE: Enter the exact answer. Distance =
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 1. L A B Use the method above to find the distance from the point P(-3,1,4) to the line through A(1,1,0) and B(-2,3, –4). NOTE: Enter the exact answer. Distance =
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