Find the equation of the plane mid - parallel to the planes 2x – 3y + 6z + 21 = 0 and 2x – 3y + 6z – 14 = 0

Question

Philoid · Accepted Answer

Formula : The equation of mid parallel plane is , say

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

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

where () are constants of the planes

Therefore ,

First Plane 2x – 3y + 6z + 21 = 0 …… (1)

Second plane 2x – 3y + 6z – 14 = 0 …… (2)

Using equation (1) and (2)

Mid parallel plane

4x – 6y + 12z + 7 = 0