Let 1: (x, y, z)=(-1, 1, 5) + t (3, 4, -3) where t = R. Find the distance between the line and the point P = (-2,3,5). Sho your work. Hint: in the following sketch, what could the vector v be? What migh be the point A? A P C 1

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.CR: Review Exercises
Problem 38CR
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In math, the convention is that “distance” means the shortest distance. Don't simply use the distance formula for the distance between a point and a line.

Let
1 : (x, y, z) = (–1, 1, 5) + t (3, 4, −3) where t € R.
Find the distance between the line and the point P = (-2,3,5). Show
l
your work.
Hint: in the following sketch, what could the vector v be? What might
be the point A?
A
P
ע
с
Transcribed Image Text:Let 1 : (x, y, z) = (–1, 1, 5) + t (3, 4, −3) where t € R. Find the distance between the line and the point P = (-2,3,5). Show l your work. Hint: in the following sketch, what could the vector v be? What might be the point A? A P ע с
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