three points can determine a plane
Three points can determine a plane but not 3-d space.
A plane
No, they need not.
Yes.
three points can determine a plane
No. Three points do. Two points determine a line.
Three points can determine a plane but not 3-d space.
A plane
Any 3 points
No. If the four points are coplanar, they determine only one plane!
Any three points that are non-collinear (not on the same line) will determine a plane.
No, they need not.
Yes.
A plane can be determined by three points, as long as the three points do not lie along a single line.
A series of 3 points will always determine a plane unless 2 or all 3 points are identical points (they have the same coordinates).If the idea is to have the three points determine oneplane, a unique plane, then three points will do that as long as none of them have the same spacial coordinates (have identical locations) or as long as the three points do not lie on a single line.If a straight line can be drawn through all three points, they will not form one unique plane either.
Any three points which do not form a line.