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Does a plane have only two points?
No, two points define a line. It takes three points to define a plane.
Can three points that define a particular plane also define a different plane?
Only if the 3 points are all in the same line. Then there are an infinite number of planes.If the 3 points are not all in the same line, then there is only one unique plane that contains them.That's what "define" means.
What would happen if three collinear points are used to define a plane?
Three collinear points don't define a plane."Define" means narrow it down to one and only one unique plane, so that it can't be confused with any other one.There are many different planes (actually infinite) that can contain three collinear points, so no unique plane is defined.
Are three collinear points coplanar?
Yes. Three co-linear points define a line, and therefore also lie on a plane, but those three points do not necessarily define only one plane. You need three points, not co-linear, to uniquely define a plane. See Related Links below for more information.
Can three noncollinear points be contained on one plane?
Yes. You require three non-collinear points to uniquely define a plane!
How many points make a plane?
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
What is the smallest number of distinct points that can define a plane?
Three. That is why three-legged stools are always stable--the ends of their legs define a plane.
How many different planes are determined by three noncollinear points?
3 non-collinear points define one plane.
How many non-collinear points define a plane?
Three
How many noncollinear points are needed to define a plane?
Three.
Is s three is the least number of points that can be used to define a plane?
yes, three points in the least number of points that can be used to define a plane. if you used two points you would only have a line, and one point is a point
Is every set of three points coplanar?
Yes, three points define a plane. So any three points lie in some specific plane and are therefore co-planar.
