Think you just answered your own question. A plane is a line. Two planes= two lines.
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skew lines
Parallel lines would always lie in the same plane. They would need to be skew lines.
One if the two lines meet, none otherwise. But skew lines do not lie in the same plane, by definition.
They're either parallel lines or skew lines.
There is no specific term but you could try "non-coplanar".