I think you mean: Are any three points contained in exactly one plane? only if they're not collinear... I think
one plane LINE
Yes, since any line can be contained in a plane.
In plane geometry there is exactly one straight line through two points. There can be any number of curved lines.
Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them. An infinite number of planes can be drawn that include the line. But if you pick a third point that does not lie on the line. There will be exactly one plane that will contain the line and that point you added last. Only oneplane can contain the line, which was determined by the first two points, and the last point.
I think you mean: Are any three points contained in exactly one plane? only if they're not collinear... I think
Yes, if you are talking about Euclidean geometry.
Yes.No. Any two planes will be contained in infinitely many planes, not "exactly one".
Collinear points
No. The tiniest piece of a plane contains an infinite number of points. But if you give us just three points, then we know exactly what plane you're talking about, and it can't be any other plane.
Yes a plane can always be drawn three any three points, whether they are linear or not.
one plane LINE
Yes, since any line can be contained in a plane.
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.
between two point there is exactly one line between three points there is exactly one plane
In plane geometry there is exactly one straight line through two points. There can be any number of curved lines.
There can be any number of points on a plane, or even on a line - and any number of lines on a plane.