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Their destinations were the West Coast so that the planes had a lot of fuel and the explosions would be bigger when they crashed.
No. Two planes may be parallel and so may not intersect. Also, any line is the intersection of infinitely many planes, not just two.
No, horizontal planes run parallel to each other, so they do not intersect, but two vertical planes can intersect. Imagine the pages of a books as several planes. When you stand the book up, they are all vertical, but they all intersect at the book spine.
In 3d space, two planes will always intersect at a line...unless of course they are the same plane (they coincide). Because planes are infinite in both directions, there is no end point (as in a ray or segment). So, your answer is neither, planes intersect at a line.
Two planes are parallel if the perpendicular distance between them remains constant. This is not a British definition but a mathematical definition and so is valid everywhere.