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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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
A
В
Use the method above to find the distance from the point P(-3, 1, 3)
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. P A В Use the method above to find the distance from the point P(-3, 1, 3) to the line through A(1, 1,0) and B(-2,3, -4). NOTE: Enter the exact answer. Distance =
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