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. B 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). NOTE: Enter the exact answer. Distance

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
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Question 5
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.
L.
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).
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. L. 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). NOTE: Enter the exact answer. Distance
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