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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 A Use the method above to find the distance from the point P(-3, 1,8) 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 A Use the method above to find the distance from the point P(-3, 1,8) to the line through A(1, 1,0) and B(-2,3, –4). NOTE: Enter the exact answer. Distance =

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 32EQ
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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, 1,8) 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. Use the method above to find the distance from the point P(-3, 1,8) to the line through A(1, 1,0) and B(-2,3, –4). NOTE: Enter the exact answer. Distance =
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