If you are given a plane, you can always find and number of points that are not in that plane but, given anythree points there is always at least one plane that goes through all three.
The coordinate plane or grid.
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
The points are collinear, and there is an infinite number of planes that contain a given line. A plane containing the line can be rotated about the line by any number of degrees to form an unlimited number of other planes.If, on the other hand, the points are not collinear, then the plane has no wriggle room: it is stuck fast in one place - there can be only one plane containing all the points. Provided they are non-colinear, three points will define a 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.
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3.Any three points will determine a plane, provided they are not collinear. If you pick any two points, you can draw a line to connect them.
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.
Two. Two points determine a line. Three points determine a plane.
There can be any number of points on a plane, or even on a line - and any number of lines on a plane.
A plane has an infinite number of points. It takes 3 points to fix a plane i.e. you need 3 points to identify one unique plane.
If you are given a plane, you can always find and number of points that are not in that plane but, given anythree points there is always at least one plane that goes through all three.
They are points on a coordinate plane.
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the triangular distribution of points on a plane is the minimum energy limit of randomly seeded points on a plane - it is as far apart as they can get. the voronoi tesselation of equally spaced triangular points is hexagonal, the minimum energy network that tesslates the plane. you can develop susch tesselations using reaction diffusion models. adamatsky shows some in his 2001 book