Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
Only one plane can contain three specific points.
Exactly one.
There will always be a single plane through all three points.
Three non-co-linear points are sufficient to uniquely define a single plane.
If the points are collinear, that means there's only one straight line. An infinite number of different planes can be drawn that contain one straight line.
There are no planes containing any number of given points. Two points not the same define a line. Three points not in a line define a plane. For four or more points to lie in the same plane, three can be arbitrary but not on the same line, but the fourth (and so on) points must lie in that same plane.
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.
You can have an infinite number of planes passing through three collinear points.
Yes- planes contain infinitely many points and every pair of points in plane determine a line in that plane, so every plane contains infinitely many lines.
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