3, but they cannot all lie along the same line.
3
zero
Three.
A plane can be determined by three points, as long as the three points do not lie along a single line.
To create a plane, infinitely many. To uniquely determine a plane, just three.
To create a plane, infinitely many. But to uniquely define one, 3 are enough.
There are infinitely many points in a plane.
Any Euclidean plane has infinitely many points.
A unique plane is defined by three non-collinear points. This means that the points must not all lie on the same straight line. If the three points are collinear or if only two points are given, they do not suffice to define a unique plane. Thus, the key restriction is that the three points must be non-collinear.
many
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
A minimum of three points are required to define a plne (if they are not collinear). And in projective geometry you can have a plane with only 3 points. Boring, but true. In normal circumstances, a plane will have infinitely many points. Not only that, there are infinitely many in the tiniest portion of the plane.