A plane can be determined by three points, as long as the three points do not lie along a single line.
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Three
3 points which do not all lie on the same line.
3
Any 3 points determine a plane.
a plane is any plane surface it usually have 3 or 4 points * * * * * You need only three points provided they are not collinear. And most planes have infinitely many points although there are geometries with only a finite number of points.