For planes 2x + y – z = 2 and 2x + 3y + 5z = 4,

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 1E
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For planes 2x + y – z = 2 and 2x + 3y + 5z = 4,
%3D
%3D
Transcribed Image Text:For planes 2x + y – z = 2 and 2x + 3y + 5z = 4, %3D %3D
Write the parametric equations of the line at which these two
planes intersect. (Hint: You can set one variable to be t and solve for the
other two.)
x = t, y = t +7, z =
t + 9.
x =
= 2t + 5, y = -3t + 1, z = t.
X =
t – 7, y = t, z = 9 + t.
3
t + 2, y = -2t, z = t.
X =
Transcribed Image Text:Write the parametric equations of the line at which these two planes intersect. (Hint: You can set one variable to be t and solve for the other two.) x = t, y = t +7, z = t + 9. x = = 2t + 5, y = -3t + 1, z = t. X = t – 7, y = t, z = 9 + t. 3 t + 2, y = -2t, z = t. X =
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