Determine the parametric equation of the plane that contains the line y-3 *+2-³-² and the point P(2.5.3). => Ox=2+ 5s + 4, y = 5+ 35+21, z = 3+25+1, 5₁1 € R Ox= 2 + 55+ 31, 3 = 5 + 35 + 21, z = 4+25+1, 5₁1 € R Ox=-2 +55 +21₂ = 3 + 3s + St, z = 2 + 25 + 3t, s₁t € R Ox=5+ 25 + 2t, y = 3-3s + 5t, z = 2-2s + 3t, s,t € R

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 21RE
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Question
Determine the parametric equation of the plane that contains the line
x+ 2 y 3
Z-2
*+²²-²² and the point P(2.5.3).
=>
5
2
x=2+ 55+ 4t, y=5+35+ 21, z = 3+25+1, 5₁1 € R
x = 2 + 55+ 3t, y = 5+ 35+2t, z = 4+25+1, 5,t € R
x = -2 + 55+ 2t, y = 3 + 35+ 5t, z = 2 + 25 + 3t, s,t € R
x = 5 + 25 + 21, y = 3-3s + St, z=2-2s + 3t, s,t e R
Transcribed Image Text:Determine the parametric equation of the plane that contains the line x+ 2 y 3 Z-2 *+²²-²² and the point P(2.5.3). => 5 2 x=2+ 55+ 4t, y=5+35+ 21, z = 3+25+1, 5₁1 € R x = 2 + 55+ 3t, y = 5+ 35+2t, z = 4+25+1, 5,t € R x = -2 + 55+ 2t, y = 3 + 35+ 5t, z = 2 + 25 + 3t, s,t € R x = 5 + 25 + 21, y = 3-3s + St, z=2-2s + 3t, s,t e R
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