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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.
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).
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
>Two points that lie on the same plane. Any pair of points on the plane will thus >form a line. (In most basic geometry classes, the majority of the class work is >only concerned with one plane) Any number of points can be coplanar. In fact, any 3 points are always coplanar, and if they are not colinear (all three on the same line), they define a unique plane.
It is the cross-section of the figure by the plane.