Any 3 geometric points, as long as they are all in different locations and not superimposed on each other, will define a plane. In other words, there is only one plane that can pass through 3 distinct points. If you had only two points, it would define a line, but not a plane. A plane can include 2 points but if there are only 2 that are specified, the plane can rotate around those 2 points, generating infinitely many planes.
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Three points can determine a plane but not 3-d space.
Any 3 points determine a plane.
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
A plane
Three non-collinear points do not determine a unique spherical triangle.