How to check if any number of points are coplanar?

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How to check if any number of tridimensional points are coplanar?

I have found just how to check if 4 points are coplanar, but I need to know if a few tenths of points are coplanar.

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I would first do a linear least squares to fit the best approximation plane. I use italic writing as best is a subjective matter. And then test if all the distances of the points to that plane are less than a given tolerance.

The advantage of doing so is that all points are Havin the same role.