Thread: Distance between two parallel planes

Find the shortest distance between the following two parallel planes:

x -2y -2z -12 = 0
and
x -2y -2z -6 = 0 .

Originally Posted by knuckles1234

Find the shortest distance between the following two parallel planes:

x -2y -2z -12 = 0
and
x -2y -2z -6 = 0 .

Given a point p,q)" alt="Pp,q)" /> and a line then the distance between the point and the line is .

Take any point on one of the lines and find the distance to the other line.

To find the distance between two planes, use the formula:



This is the formula for the distance between a point and a plane. To find the distance between the planes, choose an arbitrary point on one of the planes. Set y=z=0 in x-2y-2z-12=0 and solve for x. Then, use that as your point.