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Jellopudin

  • 3 years ago

Do 2 intersecting lines lie in 2 planes?

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  1. Directrix
    • 3 years ago
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    What's your idea about it. Just wondering before we discuss.

  2. Directrix
    • 3 years ago
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    @Jellopudin

  3. Jellopudin
    • 3 years ago
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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

  4. Jellopudin
    • 3 years ago
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    Im 16 trying to graduate this summer :)

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

  6. Directrix
    • 3 years ago
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    |dw:1360447796102:dw|

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

  8. Jellopudin
    • 3 years ago
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    |dw:1360447911791:dw|

  9. Directrix
    • 3 years ago
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    You did not make a fool of yourself. And, my argument may be incorrect.

  10. Jellopudin
    • 3 years ago
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    No, cause two intersecting lines can never create 2 different planes

  11. Jellopudin
    • 3 years ago
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    There has to be a 4th demension ;)

  12. Directrix
    • 3 years ago
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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.

  13. Jellopudin
    • 3 years ago
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    Thanks :)

  14. Directrix
    • 3 years 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.

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

  16. Directrix
    • 3 years ago
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    I use pencils and pens or whatever is handy. Visualization is so important in Geometry.

  17. Jellopudin
    • 3 years ago
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    Totally agree

  18. Jellopudin
    • 3 years ago
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    You have to agree haha

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

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