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Jellopudin
 2 years ago
Do 2 intersecting lines lie in 2 planes?
Jellopudin
 2 years ago
Do 2 intersecting lines lie in 2 planes?

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Directrix
 2 years ago
Best ResponseYou've already chosen the best response.0What's your idea about it. Just wondering before we discuss.

Jellopudin
 2 years ago
Best ResponseYou've already chosen the best response.0i belive yes, in my mind and how im seeing it play out in my brain it looks like there are two sperate planes

Jellopudin
 2 years ago
Best ResponseYou've already chosen the best response.0Im 16 trying to graduate this summer :)

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.0Okay. I'll draw two intersecting lines and make a case for exactly one plane. Hold on.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1360447796102:dw

Jellopudin
 2 years ago
Best ResponseYou've already chosen the best response.0LOL I made a fool of my self, thanks for helping! I was thinking of the totally wrong thing ;0

Jellopudin
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1360447911791:dw

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.0You did not make a fool of yourself. And, my argument may be incorrect.

Jellopudin
 2 years ago
Best ResponseYou've already chosen the best response.0No, cause two intersecting lines can never create 2 different planes

Jellopudin
 2 years ago
Best ResponseYou've already chosen the best response.0There has to be a 4th demension ;)

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.0Here's my thinking: Line XY intersects line ZX at point X. Points X, Y, and Z are not on the same line. They are noncollinear points. By the axioms, three noncollinear points determine a unique plane. Therefore, exactly one plane contains the two intersecting lines.

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.0What do you think? Now, if we ask if 3 intersecting planes lie in exactly one plane  well, that's a different story.

Jellopudin
 2 years ago
Best ResponseYou've already chosen the best response.0yeah i know haha, im using my arms and a piece of paper to figure it out :P

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.0I use pencils and pens or whatever is handy. Visualization is so important in Geometry.

Jellopudin
 2 years ago
Best ResponseYou've already chosen the best response.0You have to agree haha

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.0Hey what about this: Do a line and a point not on the line lie in exactly one plane?
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