Three
To create a plane, infinitely many. To uniquely determine a plane, just three.
There will always be a single plane through all three points.
3 non-collinear points define one plane.
Definition for collinear and non collinearPoints that lie on the same line are called collinear points. If there is no line on which all of the points lie, then they are non collinear points.
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.
Three
Any three non-collinear points will define a single plane. A plane is composed of an infinite number of distinct lines.
Just one plane.
Infinitely many. There are infinitely many points in the plane and although any pair of points define a line, no matter how many lines you are given, it is always possible to find a point that is not on any of them - that is, a point that is not collinear.
For instance a plane.
A plane
To create a plane, infinitely many. But to uniquely define one, 3 are enough.
3 lines and one plane
exactly nine planes! * * * * * I would have said 4 - corresponding to the four faces of a tetrahedron. Of course, non-collinear does not mean non-coplanar so all four points could be in the same single plane!
To create a plane, infinitely many. To uniquely determine a plane, just three.
There will always be a single plane through all three points.