Find the distance between the parallel planes x + 2y - 2z + 4 = 0 and x + 2y – 2z – 8 = 0.

Question

Philoid · Accepted Answer

Formula : The distance between two parallel planes, say

Plane 1:ax + by + cz + d1 = 0 &

Palne 2:ax + by + cz + d2 = 0 is given by the formula

where () are costants of the planes

Therefore ,

First Plane x + 2y - 2z + 4 = 0 …… (1)

Second plane x + 2y – 2z – 8 = 0 …… (2)

Using equation (1) and (2)

Distance between both planes