A point is a single spot in space. A line is the connection between two points. A plane is the space made up between three or more lines. A plane has infinite lines and therefore infinite 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.
6*5/2 = 15.
Yes, three points determine a plane unless they are in a straight line. A plane is two dimensions a line is only one. You need a third point(not in the line) 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.
A plane.
A plane.
Any three non-collinear points will define a single plane. A plane is composed of an infinite number of distinct lines.
infinite
Three lines are determined by three points unless the points are all on the same line ( i.e. co-linear)
A plane.
plane
You can have an infinite number of planes passing through three collinear points.
A plane can be determined by three points, as long as the three points do not lie along a single line.
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.
10!
3