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No, they can intersect in line. Consider the floor of a cuboid room and one wall. They meet in a line along the floor. Consider the plane that goes from that line to the line joining the opposite wall to the ceiling - a plane which goes diagonally across the room. The floor, first wall and the diagonal plane will be three points meeting in a line.

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Jay O'Connell

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3y ago

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Q: Can three plane intersects in only one point?
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