## Jellopudin 2 years ago Do a line and a point not on the line lie in exactly one plane?

1. Jellopudin

yes

2. Directrix

I disagree. @Jellopudin

3. Jellopudin

not all the time

4. Directrix

|dw:1360448415130:dw|

5. 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.

6. Jellopudin

yeah but what if there are additional points for P

7. Jellopudin

then it creates a new plane! =D

8. Jellopudin

but in the questions case it would lie on 1 plane so its true

9. 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."

10. 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.

11. Jellopudin

I have no text

12. Jellopudin

Just my brain and the internet at this time