Calculating the distance between plane and origin when the point on plane and normal vector are given.

Question

I have an plane given as some "random" point on that plane and the normal vector (for that plane).

I would like to calculate the distance between the plane and the origin (0, 0, 0).

How can I do that?

Answer 1

If $\,\vec p$ is the point and $\,\vec n$ is the plane's unit normal your answer is: $$|\vec p.\vec n|$$