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.
To create a plane, infinitely many. But to uniquely define one, 3 are enough.