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Infinite width and length and can be determined by three points?
The shape described is a plane, which is a two-dimensional surface that extends infinitely in both width and length. In geometry, a plane can be uniquely determined by any three non-collinear points on the plane. This is known as the "three-point" or "unique determination" property of a plane. The three points define the plane's orientation and position in three-dimensional space.
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.
What are points that lie on the same plane?
Points that lie on the same plane are coplanar. Generally, three points have to be coplanar, but more than that can be in any plane.
Three points determine a plane.?
Any three points that are non-collinear (not on the same line) will determine a plane.
How many non-collinear points are there in one plane?
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.
