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, 1,6) to the line through A(1,1,0) and B(-2,3,-4). NOTE: Enter the exact answer. B Distance

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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5 of 8
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
B
Use the method above to find the distance from the point P(-3, 1,6)
to the line through A(1,1,0) and B(-2, 3,-4).
NOTE: Enter the exact answer.
Transcribed Image Text:5 of 8 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 B Use the method above to find the distance from the point P(-3, 1,6) to the line through A(1,1,0) and B(-2, 3,-4). NOTE: Enter the exact answer.
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