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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 L A В 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

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 В 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

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 20CM
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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.
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)

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 A В 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
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 A В 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
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