Let l : (x, y, z) = (−1, 1, 5) + t(3, 4, −3) where t ∈ R. Find the distance between the line l and the point P = (−2, 3, 5).

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
Section10.6: The Three-dimensional Coordinate System
Problem 6E: For the line l:x,y,z=5,3,-2+n1,2,-2, find a a point of the line. b a direction vector for the line.
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Let
l : (x, y, z) = (−1, 1, 5) + t(3, 4, −3) where t ∈ R.
Find the distance between the line l and the point P = (−2, 3, 5). 
Hint what could the vector v be? What might
be the point A?


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