Parallel Planes and Points (3D)

[SolfegeDuck]

Homework Statement

Point A (3,2,-1) is equidistant from two planes (parallel), known as P1 and P2. P1 has the equation 2x-y+2z+4 = 0. Find the equation of P2.

Homework Equations

D = abs val(ax_o + by_o + cz_o + d) divided by sqrt (a^2 + b^2 + c^2)

The Attempt at a Solution

I used the distance formula and figured out that the distance between the point and either plane is 2. But what do I do now? I know that the plane I'm looking for, since it's parallel, has a perpendicular vector that is the same as P1, if not a scalar multiple. But what next? Thanks in advance.

 

[rochfor1]

Compute a point on the other plane.

 

[SolfegeDuck]

how do i do that?