yes
Yes, three non-collinear points are contained in exactly one plane. By definition, non-collinear points do not all lie on the same straight line, which allows them to define a unique plane. In geometry, any three points that are not collinear will always determine a single plane in which they lie.
Collinear points
Four non-collinear points can form exactly one plane. This is because a plane is defined by three non-collinear points, and adding a fourth point that is not in the same line as the other three does not create a new plane; rather, it remains within the same plane defined by the initial three points. Therefore, all four points lie in the same unique plane.
Three non-collinear points always define exactly one and only one plane. That's why a 3-legged table or chair never wobbles.
Yes.
Yes, three non-collinear points are contained in exactly one plane. By definition, non-collinear points do not all lie on the same straight line, which allows them to define a unique plane. In geometry, any three points that are not collinear will always determine a single plane in which they lie.
Collinear points
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.
I think you mean: Are any three points contained in exactly one plane? only if they're not collinear... I think
Four non-collinear points can form exactly one plane. This is because a plane is defined by three non-collinear points, and adding a fourth point that is not in the same line as the other three does not create a new plane; rather, it remains within the same plane defined by the initial three points. Therefore, all four points lie in the same unique plane.
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.
3 non-collinear points define 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.
Yes.
Three
For instance a plane.
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)