How to rotate the equation of a plane with respect to a point?

Question

Game development

Good afternoon.
There is an equation of the plane of the form Ax + By + Cz + D = 0
, there are also its bases, if necessary,
there is some point M (x, y, z
)
Prompt, please, algorithm.
PS Do not offer quaternions =)
Most likely, matrices will help me ...

Answer 1

In this equation, ABC are the coordinates of the normal vector. You can rotate the normal by simply multiplying by the rotation matrix.