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(a) Find the point at which the given lines intersect. (3,2,0) + t(2, -2, 3) r = (5, 0, 3) + s(-2, 2, 0) r = (x, y, z) = (b) Find an equation of the plane that contains these lines.

(a) Find the point at which the given lines intersect. (3,2,0) + t(2, -2, 3) r = (5, 0, 3) + s(-2, 2, 0) r = (x, y, z) = (b) Find an equation of the plane that contains these lines.

Elementary Geometry For College Students, 7e
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 35E
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Question

(a)

Find the point at which the given lines intersect.
r  = 
 
3, 2, 0
 
 +  t
 
2, −2, 3
 
 
r  = 
 
5, 0, 3
 
 +  s
 
−2, 2, 0
 
(x, y, z) = 
 
 
 
 
 
 
 

(b)

Find an equation of the plane that contains these lines.
 
 
(a) Find the point at which the given lines intersect. r = (3, 2, 0) + t(2, -2, 3) r = (5, 0, 3) + s(-2, 2, 0) (x, y, z) = (b) Find an equation of the plane that contains these lines.
Transcribed Image Text:(a) Find the point at which the given lines intersect. r = (3, 2, 0) + t(2, -2, 3) r = (5, 0, 3) + s(-2, 2, 0) (x, y, z) = (b) Find an equation of the plane that contains these lines.
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