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GEOMETRY: ok, so there are three planes. it is possible for none of these three planes to intersect??

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ok, so there are three planes. it is possible for none of these three planes to intersect??

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  1. Sure, if they're all parallel to each other.  Think of the first, second, and third floors of a house.  Or the floor that you're standing on right now, the ceiling right above you, and the floor of the basement.


  2. yes. you can have three planes that are all parallel to each other.

    Ex: Plane 1- the floor

    Plane 2- the ceiling

    Plane 3- your kitchen table

    they will never intersect

  3. yes, none can intersect if theyre all parallel. think of a parking garage with three floors. You park on the bottom floor, or the first plane and theres a floor above you, the second floor (or plane) and theres a ceiling above that floor, which represents the third plane. All of these planes are parallel and do not share any common points and, thus, do not intersect.  

  4. That would mean each one is parallel to the other two.


  5. yes, if all three planes are parallel they will never intersect.

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