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 =
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
Related questions
Question
![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
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 amswer.
Distance =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff23b93e9-0a0f-4ae1-a4ec-0135920b1853%2F572d5bbe-114c-4d76-b917-acfe5b7eb832%2Ffaw2y5_processed.png&w=3840&q=75)
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
L
A
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 amswer.
Distance =
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