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There is no "the" since there are infinitely many non-parallel planes. Two non-parallel planes are planes that intersect in a line.
Yes.No. Any two planes will be contained in infinitely many planes, not "exactly one".
No. Two planes may be parallel and so may not intersect. Also, any line is the intersection of infinitely many planes, not just two.
Think you just answered your own question. A plane is a line. Two planes= two lines.
If 2 points determine a line, then a line contains infinitely many planes.