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Distance Between a Point and a Plane

You can find the distance from a point p to a plane, if you know the coordinates of p and of any point q in the plane, and a vector v normal to the plane.
Form the vector p - q and take its dot product with v divided by the magnitude of v.
The magnitude of the result will be the required distance.
You can find the projection of p onto the plane by subtracting from p.