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Intersection of two planes

  1. Oct 19, 2011 #1
    Is it possible for two planes to meet in a point instead of in a line?
     
  2. jcsd
  3. Oct 20, 2011 #2

    HallsofIvy

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    No. The only possiblities are:
    1) Do not intersect. (the planes are parallel)
    2) Intersect in a line.
    3) Intersect in all points. (They are actually the same plane)
     
  4. Oct 20, 2011 #3

    Ben Niehoff

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    I have to disagree with HallsofIvy. The answer depends on the dimension of the ambient space in which the planes live.

    In 3 dimensions, Halls is correct.

    In 4 dimensions and higher, two planes (i.e., 2-dimensional objects) can certainly intersect in a point.
     
  5. Oct 20, 2011 #4

    chiro

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    Are these linear objects you are talking about or some other kind?
     
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