- 7x + 4y - 4z =-30
- 14x + 8y -8z = 12 <=> 7x + 4y - 4z = 6
- 36x - 51y + 12z = -17 <=> 12x - 17y +4z = -17/3
- 12x -17y + 4z = 3
Both planes are parallel if condition suffices
a2a1=b2b1=c2c1.
where a1x + b1y + c1z = d1 and a2x + b2y + c2z = d2 are planes.
Let's consider 1st and 2nd equation.
77=44=−4−4
Let's consider 3th and 4th equation.
1212=−17−17=44
So, 1,2 and 3,4 planes are parallel. A cuboid is a figure bounded by six face parallel to each opposite one. So, the planes form cuboid.
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