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. Distance = A B Use the method above to find the distance from the point P(–3, 1, 10) to the line through A(1, 1, 0) and B(-2,3,-4). NOTE: Enter the exact answer.

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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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.
Distance
A
=
P
Use the method above to find the distance from the point P(-3, 1, 10)
to the line through A(1, 1, 0) and B(-2, 3,-4).
NOTE: Enter the exact answer.
B
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. Distance A = P Use the method above to find the distance from the point P(-3, 1, 10) to the line through A(1, 1, 0) and B(-2, 3,-4). NOTE: Enter the exact answer. B
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