If the points are collinear, the number of possible planes is infinite. If the points are not collinear, the number of possible planes is ' 1 '.
Only one if they are non-collinear. An infinite number if they are collinear.
The points are collinear, and there is an infinite number of planes that contain a given line. A plane containing the line can be rotated about the line by any number of degrees to form an unlimited number of other planes.If, on the other hand, the points are not collinear, then the plane has no wriggle room: it is stuck fast in one place - there can be only one plane containing all the points. Provided they are non-colinear, three points will define a plane.
three
three
Exactly one.
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.
Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.
In Euclidean geometry, only one.
infinite
There will always be a single plane through all three points.
4 planes.