Do a line and a point not on the line lie in exactly one plane?
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Not the answer you are looking for? Search for more explanations.
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.
yeah but what if there are additional points for P
then it creates a new plane! =D
but in the questions case it would lie on 1 plane so its true
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."
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.