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Geometry question (not homework)

  1. Sep 19, 2005 #1
    can planes only rise up or dip down like this?


    / Plane B
    /
    /
    /
    /

    _____________________________ Plane A

    or can Plane B intersect A like this?
    _____________________________________
    |BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB|
    |BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB|
    |BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB|
    |BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB|
    |BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB|
    |BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB|
    |_____________________________________|___ Plane A
    |BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB|
    |_____________________________________|

    bad drawing but i dont know any other way.
     
  2. jcsd
  3. Sep 19, 2005 #2
    If your drawing is referring to planes intersecting at right angles, the most apparent example is the intersection of the xy-plane with the xz-plane.
     
  4. Sep 19, 2005 #3
    We had a problem in class that said that through a given line on plane A there is only one plane that intersects plane B (not dealing with my pictures). I thought there would be an infinite amount of planes.
     
  5. Sep 20, 2005 #4

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Was there more to the problem? Imagine rotating the plane around the line where it intersects A. That will give an infinite number of planes that still intersect B.
     
  6. Sep 20, 2005 #5
    my teacher said that there was only one and thats what im asking about.
     
  7. Sep 20, 2005 #6
    opps and the plane that intersects plane B pass through the line.
     
  8. Sep 20, 2005 #7
    Are you sure he didn't say any two given planes can only intersect once? because that would make alot more sense.
     
  9. Sep 20, 2005 #8
    no pretty sure
     
  10. Sep 21, 2005 #9
    Well there should be infinite planes (B) that intersect with A. Just think about it. In fact, only planes which are parallel to each other won't intersect.
     
  11. Sep 24, 2005 #10
    ok my teacher said there was only one and i thought he was wrong but wasnt sure
     
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