That's a fair statement.
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Yes.
I don't know which one you consider to be the third one, or what this question has to do with math. Two of the planes were crashed into the World Trade Center. One plane was crashed into the Pentagon although, based on its flight path, its original target is believed to have been the White House but they apparently couldn't find it. The other plane was presumeably intended for the Capitol but the passengers attacked the hijackers, attempting to retake the plane. It crashed in rural Pennsylvania.
If the two lines are coplanar, then it is a third, parallel, line which is halfway between the two lines. If the two lines are not in the same plane, then I think it will be a saddle shape (paraboloid).
The third line is known as a transversal.
It's a third line, parallel to both and midway between them.