anonymous
  • anonymous
Do 2 intersecting lines lie in 2 planes?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Directrix
  • Directrix
What's your idea about it. Just wondering before we discuss.
Directrix
  • Directrix
@Jellopudin
anonymous
  • anonymous
i belive yes, in my mind and how im seeing it play out in my brain it looks like there are two sperate planes

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anonymous
  • anonymous
Im 16 trying to graduate this summer :)
Directrix
  • Directrix
Okay. I'll draw two intersecting lines and make a case for exactly one plane. Hold on.
Directrix
  • Directrix
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anonymous
  • anonymous
LOL I made a fool of my self, thanks for helping! I was thinking of the totally wrong thing ;0
anonymous
  • anonymous
|dw:1360447911791:dw|
Directrix
  • Directrix
You did not make a fool of yourself. And, my argument may be incorrect.
anonymous
  • anonymous
No, cause two intersecting lines can never create 2 different planes
anonymous
  • anonymous
There has to be a 4th demension ;)
Directrix
  • Directrix
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.
anonymous
  • anonymous
Thanks :)
Directrix
  • Directrix
What do you think? Now, if we ask if 3 intersecting planes lie in exactly one plane - well, that's a different story.
anonymous
  • anonymous
yeah i know haha, im using my arms and a piece of paper to figure it out :P
Directrix
  • Directrix
I use pencils and pens or whatever is handy. Visualization is so important in Geometry.
anonymous
  • anonymous
Totally agree
anonymous
  • anonymous
You have to agree haha
Directrix
  • Directrix
Hey what about this: Do a line and a point not on the line lie in exactly one plane?

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