3. Use a tripod as an example. It has 3 legs that can move around, yet as long as they are the same size, it stands up straight.
Three
Three.
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.
Coplanar means "on the same plane". A plane can be a figure or shape like a rectangle. Coplanar points means points that belong on the same plane.
3 non-collinear points define one plane.
4 points define a plane.
3
No, 2 points define a line, 3 points define a plane.
No, two points define a line. It takes three points to define a plane.
Three
Three.
They define one plane. A line is defined by two points, and it takes three points to define a plane, so two points on the line, and one more point not on the line equals one 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.
No, only one UNIQUE Plane.
A minimum of three points are required to define a plne (if they are not collinear). And in projective geometry you can have a plane with only 3 points. Boring, but true. In normal circumstances, a plane will have infinitely many points. Not only that, there are infinitely many in the tiniest portion of the plane.
A plane in three-dimensional space is defined by three non-collinear points. If the points are collinear, they do not define a unique plane, as an infinite number of planes can pass through a line. Therefore, at least three points that are not on the same line are necessary to establish a distinct 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.