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.
I dont think that "If four points are collinear they are also coplaner," is the same thing as "If four points are coplaner they are also collinear,". The definition of collinear is at least three points on the same line. To define a plane is to have threenoncollinear points.
Three collinear points don't define a plane."Define" means narrow it down to one and only one unique plane, so that it can't be confused with any other one.There are many different planes (actually infinite) that can contain three collinear points, so no unique plane is defined.
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.
No, they have to be noncolinear, that is they all can't be on the same line.
To create a plane, infinitely many. To uniquely determine a plane, just three.
Points that are collinear will be located on the same line. A line is a subset of a plane. Therefore, Yes, points that are collinear will be located on the same 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.
two points form a line one more point is needed to check whether it is collinear or not so atleast three points must be require to check the non collinerancy of a points
Collinear points are points that lie on the same line, while coplanar points are points that lie on the same plane.
collinear
Yes.
I dont think that "If four points are collinear they are also coplaner," is the same thing as "If four points are coplaner they are also collinear,". The definition of collinear is at least three points on the same line. To define a plane is to have threenoncollinear points.
They are lines or points that lie on the same plane. Remember 3 or more points are collinear if they lie on the same line. IF those lines lie on the same plane they are coplanar.
Not necessarily. Coplanar means that points lie on the same plane whereas collinear means that points lie on the same line. Points on a plane do not necessarily lie along the same line.
Three
For instance a plane.