Three points are, but not four.
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No, they always are From Wikipedia.org, "The World's Encyclopedia" when I searched coplanar In geometry, a set of points in space is coplanar if the points all lie in the same geometric plane. For example, three distinct points are always coplanar; but four points in space are usually not coplanar. Since 3 points are always coplanar. A point and line are always coplanar
Not sure about complanar. Coplanar lines can be collinear but need not be.
coplanar points
Points that lie on the same plane are coplanar. Generally, three points have to be coplanar, but more than that can be in any plane.
If you are given a plane, you can always find and number of points that are not in that plane but, given anythree points there is always at least one plane that goes through all three.