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A line and a point not on the line are never coplanar?
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
It is possible to have two coplanar lines without them touching?
In Euclidean geometry, if and only if they are parallel.
Are non-coplanar lines skew?
No, non-coplanar lines are not skew. Skew lines are non-coplanar lines that do not intersect and are not parallel. Non-coplanar lines are simply lines that do not lie in the same plane. Skew lines, on the other hand, are non-coplanar and not parallel, making them a specific subset of non-coplanar lines.
How many non coplanar planes define a space?
Two are enough, if not coplanar.
Are complanar points collinear?
Not sure about complanar. Coplanar lines can be collinear but need not be.
