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Through any three points there exists exactly one plane?
Collinear points
Do 3 non collinear points lie in at least one plane?
Three non-collinear points always define exactly one and only one plane. That's why a 3-legged table or chair never wobbles.
Three collinear points determine a plane?
Yes.
What do three non-collinear points determine?
For instance a plane.
True or false Any three points can be the verticies of a triangle?
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
Through any three points there exists exactly one plane?
Collinear points
How many non-collinear points are there in one plane?
There are an infinite number of any kind of points in any plane. But once you have three ( 3 ) non-collinear points, you know exactly which plane they're in, because there's no other plane that contains the same three non-collinear points.
Through any three points there is exactly one plane cointaining them?
I think you mean: Are any three points contained in exactly one plane? only if they're not collinear... I think
When you have three collinear points there is exactly one?
When you have three collinear points there is one gradient. I'm not sure what your question is specifically but when points are collinear they have the same gradient.
Do 3 non collinear points lie in at least one plane?
Three non-collinear points always define exactly one and only one plane. That's why a 3-legged table or chair never wobbles.
How many different planes are determined by three noncollinear points?
3 non-collinear points define one plane.
Three collinear points determine a plane?
Yes.
How many non-collinear points define a plane?
Three
What do three non-collinear points determine?
For instance a plane.
True or false Any three points can be the verticies of a triangle?
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
Can three noncollinear points be contained on one plane?
Yes. You require three non-collinear points to uniquely define a plane!
How many points determines a plane?
Three, provided they are not collinear.
