The line ℓ is given by the equations x −2y + z = 2 and x + y −3z = 4. That is, ℓ consists of all points (x,y,z) that satisfy both equations. (a) Find a parametric formulation for ℓ. (b) Given a parametric representation of a line, how do we find two equations Who decides the line? Explain how you would proceed.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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The line ℓ is given by the equations x −2y + z = 2 and x + y −3z = 4.

That is, ℓ consists of all points (x,y,z) that satisfy both equations.

(a) Find a parametric formulation for ℓ.

(b) Given a parametric representation of a line, how do we find two equations Who decides the line?

Explain how you would proceed.

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