A plane is named by three points in the plane that is not on the same line.
Plane
it is, unless all three points are in the same line (Your "Why" should have be "When")
Four non-collinear points can form exactly one plane. This is because a plane is defined by three non-collinear points, and adding a fourth point that is not in the same line as the other three does not create a new plane; rather, it remains within the same plane defined by the initial three points. Therefore, all four points lie in the same unique plane.
No they can be Collinear - Points that lie on the same line.
Points that lie on the same plane are coplanar. Generally, three points have to be coplanar, but more than that can be in any plane.
plane
A set of three points not on the same line are points that define a unique plane.more than three points not on a plane are in a space (volume).
A plane is named by three points in the plane that is not on the same 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.
if there are three or more points not all of which lie on the same line then they are known as non linear pointsif there are specifically three points not all of which lie on the same line then they are known as coplanar points as they will always lie on one plane
Points on the same plane are coplanar lines.
plane
Plane
... in the same plane.
A plane.
it is, unless all three points are in the same line (Your "Why" should have be "When")