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If you were to have 3 points on the same line, then you would actually not be determining a plane, because there are infinitely many planes that can intersect a given line. But if you have 3 points in the form of the points (or vertices) of a triangle, then you determine a plane in the sense that there is only one possible plane upon which that triangle can be drawn (not including a degenerate triangle, which is equivalent to a line).
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Three points determine a plane.?
Any three points that are non-collinear (not on the same line) will determine a plane.
Can three points determined a plane?
Yes, three points determine a plane unless they are in a straight line. A plane is two dimensions a line is only one. You need a third point(not in the line) to define a plane.
Does a plane contain at least three lines?
Yes- planes contain infinitely many points and every pair of points in plane determine a line in that plane, so every plane contains infinitely many lines.
When are four points in a plane?
Any 4 points can lie in a plane, 3 points determine a plane and just take the 4th to be say the origin.
Is every set of three points coplanar?
Yes, three points define a plane. So any three points lie in some specific plane and are therefore co-planar.
