anonymous
  • anonymous
Do a line and a point not on the line lie in exactly one plane?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
yes
Directrix
  • Directrix
I disagree. @Jellopudin
anonymous
  • anonymous
not all the time

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Directrix
  • Directrix
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Directrix
  • Directrix
A line contains at least 2 points. P is a point not on the given line. Therefore, points A and B on the line and point P not on the line are non-collinear. And, three non-collinear points determine a unique plane.
anonymous
  • anonymous
yeah but what if there are additional points for P
anonymous
  • anonymous
then it creates a new plane! =D
anonymous
  • anonymous
but in the questions case it would lie on 1 plane so its true
Directrix
  • Directrix
At least three of the points would always be non-collinear. It doesn't matter how many more points are there. The question is about "a line and a point."
Directrix
  • Directrix
Check out the axioms of incidence at http://userpages.umbc.edu/~rcampbel/Math306/Axioms/Hilbert.html Also, they should be written in your Geometry text.
anonymous
  • anonymous
I have no text
anonymous
  • anonymous
Just my brain and the internet at this time

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