Posted by Shaila on Monday, September 6, 2010 at 1:11pm.
You are given the following two planes:
x+4y3z12=0
x+6y2z22=0
a) Determine if the planes are parallel
b) Fine the line of intersection of the two

Math  intersection of planes  MathMate, Monday, September 6, 2010 at 1:26pm
a. If the planes are parallel, one equation would be a linear combination of the other, which is not the case.
b. as in the previous problem,
http://www.jiskha.com/display.cgi?id=1283324887
reduce the equations to the reduced echelon form, namely
1 0 5 = 8
0 2 1 = 10
Set z=t (free variable) and solve for x, y and z to get
x=5t8
y=(1/2)t+5
z=t
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