What methods can prove two planes are parallels SolutionTwo

What methods can prove two planes are parallels ?

Solution

Two lines are a1x+b1y+c1 = 0 and a2x+b2y+c2 are parallel

if a1/a2 = a2/b2 in a plane or 2 dimension.

Two planes a1x+b1y+c1z+d1 = 0 and

a2x+b2y+c2z+d2 = 0 are parallel if a1/a2= b1/b2= c1/c2 i a 3 dimenssional space or solilid geometry.

So the above condition proves the planes are parallel.

Also like parallel straight keeps a constant distance between them, the parallel planes also maintain a constant distance between them.

The perpendiculr to the parallel planes are also parallel.