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.
There are infinitely many points in a plane.
There are one or infinitely many points.
In a plane, only one.
They define one plane. A line is defined by two points, and it takes three points to define a plane, so two points on the line, and one more point not on the line equals one plane.
many
There are infinitely many points in a plane.
3
In a plane, only one.
They define one plane. A line is defined by two points, and it takes three points to define a plane, so two points on the line, and one more point not on the line equals one plane.
A plane has an infinite number of points. It takes 3 points to fix a plane i.e. you need 3 points to identify one unique plane.
The set of all points in the plane equidistant from one point in the plane is named a parabola.
many
There are an infinite number of any kind of points in any plane. But once you have three ( 3 ) non-collinear points, you know exactly which plane they're in, because there's no other plane that contains the same three non-collinear points.
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.
To create a plane, infinitely many. But to uniquely define one, 3 are enough.
There can be any number of points on a plane, or even on a line - and any number of lines on a plane.
3 non-collinear points define one plane.