A single line is not sufficient to define a plane. You can find a plane such that the line is in it. But if you then rotate the plane using that line as the axis of rotation, you can get an infinite number of planes such that the line belongs to each and every one of the planes.
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Parallel Lines - Skew lines are lines that do not intersect and do not lie in the same plane. If two lines lie in the same plane they they must either intersect or they are parallel.
They are skew lines. Two parallel lines must be in the same plane.
Of course. Any lines in the same plane (if extended far enough) that are not parallel must intersect.
Any two lines that meet must be in a plane. The plane may not necessarily be horizontal or vertical such as X-Y or X-Z or Y-Z
They are called skew lines. Explanation: In 3 space, parallel lines must never intersect AND must be in the same plane. If they fail to intersect and are in different planes we call them skew lines.