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Jellopudin

  • one year ago

Do a line and a point not on the line lie in exactly one plane?

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  1. Jellopudin
    • one year ago
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    yes

  2. Directrix
    • one year ago
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    I disagree. @Jellopudin

  3. Jellopudin
    • one year ago
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    not all the time

  4. Directrix
    • one year ago
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    |dw:1360448415130:dw|

  5. Directrix
    • one year ago
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    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.

  6. Jellopudin
    • one year ago
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    yeah but what if there are additional points for P

  7. Jellopudin
    • one year ago
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    then it creates a new plane! =D

  8. Jellopudin
    • one year ago
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    but in the questions case it would lie on 1 plane so its true

  9. Directrix
    • one year ago
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    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."

  10. Directrix
    • one year ago
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    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.

  11. Jellopudin
    • one year ago
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    I have no text

  12. Jellopudin
    • one year ago
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    Just my brain and the internet at this time

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