How to find the normal of the intersection of 2 vectors on a plane.

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I am wondering how I would go about finding the normal of plane when I don't know the equation of said plane. I am drawing a cube so I have the corner points of a square, and I need to find the the normal of the center point of this square. I am assuming that I use the diagonal corner points to find the center point and then find the normal from there, but everywhere I have looked and google are only offering me solutions that require the equation of the plane, which I don't have.

I am not sure if I am explaining myself correctly, so I will edit the question to reflect the responses to make it more generalised if I need to.

Any help is greatly appreciated.