Math - intersection of planes
posted by Shaila .
You are given the following two planes:
a) Determine if the planes are parallel
b) Fine the line of intersection of the two
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,
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