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Jellopudin Group Title

Do 2 intersecting lines lie in 2 planes?

  • one year ago
  • one year ago

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  1. Directrix Group Title
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    What's your idea about it. Just wondering before we discuss.

    • one year ago
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    @Jellopudin

    • one year ago
  3. Jellopudin Group Title
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    i belive yes, in my mind and how im seeing it play out in my brain it looks like there are two sperate planes

    • one year ago
  4. Jellopudin Group Title
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    Im 16 trying to graduate this summer :)

    • one year ago
  5. Directrix Group Title
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    Okay. I'll draw two intersecting lines and make a case for exactly one plane. Hold on.

    • one year ago
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    |dw:1360447796102:dw|

    • one year ago
  7. Jellopudin Group Title
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    LOL I made a fool of my self, thanks for helping! I was thinking of the totally wrong thing ;0

    • one year ago
  8. Jellopudin Group Title
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    |dw:1360447911791:dw|

    • one year ago
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    You did not make a fool of yourself. And, my argument may be incorrect.

    • one year ago
  10. Jellopudin Group Title
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    No, cause two intersecting lines can never create 2 different planes

    • one year ago
  11. Jellopudin Group Title
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    There has to be a 4th demension ;)

    • one year ago
  12. Directrix Group Title
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    Here's my thinking: Line XY intersects line ZX at point X. Points X, Y, and Z are not on the same line. They are non-collinear points. By the axioms, three non-collinear points determine a unique plane. Therefore, exactly one plane contains the two intersecting lines.

    • one year ago
  13. Jellopudin Group Title
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    Thanks :)

    • one year ago
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    What do you think? Now, if we ask if 3 intersecting planes lie in exactly one plane - well, that's a different story.

    • one year ago
  15. Jellopudin Group Title
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    yeah i know haha, im using my arms and a piece of paper to figure it out :P

    • one year ago
  16. Directrix Group Title
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    I use pencils and pens or whatever is handy. Visualization is so important in Geometry.

    • one year ago
  17. Jellopudin Group Title
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    Totally agree

    • one year ago
  18. Jellopudin Group Title
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    You have to agree haha

    • one year ago
  19. Directrix Group Title
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    Hey what about this: Do a line and a point not on the line lie in exactly one plane?

    • one year ago
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