Yes.
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the lines which are not parallel to each other are non collinear lines
No. Collinear means on the same line. So collinear points all must lie on the same line. Not parallel lines.
Two intersecting lines can always cover three non-collinear points.
Any three non-collinear points will define a single plane. A plane is composed of an infinite number of distinct lines.
No, collinear refers to two different points that exist on a single line. Parallel means that 2 lines exist on the same plane, and will never intersect, no matter how far they are extended.