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 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 =
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 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.
L.
A
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feee56e46-3b51-4285-99fa-b9f56906f093%2F48e613f6-0b20-409a-9892-571ca09c990d%2Fhucjmb_processed.jpeg&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.
L.
A
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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