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Q: Does a plane only contain 3 points?
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What kind of plane has 3 points?

Every plane has 3 or more. There is a projective (or affine) plane with only 3 points.


Can three points be noncoplanar?

No, A plane can be drawn through any 3 points. If the 3 points are collinear then they make a line and a plane can contain a line. If the points are noncollinear then they can be used to form the corners of a triangle; all points of a triangle are in the same plane.


How many points can be on one 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.


What three points determine a pane?

Any 3 geometric points, as long as they are all in different locations and not superimposed on each other, will define a plane. In other words, there is only one plane that can pass through 3 distinct points. If you had only two points, it would define a line, but not a plane. A plane can include 2 points but if there are only 2 that are specified, the plane can rotate around those 2 points, generating infinitely many planes.


How many points do you need to determine a unique plane?

a plane is any plane surface it usually have 3 or 4 points * * * * * You need only three points provided they are not collinear. And most planes have infinitely many points although there are geometries with only a finite number of points.

Related questions

What kind of plane has 3 points?

Every plane has 3 or more. There is a projective (or affine) plane with only 3 points.


How many noncollinear points does a plane contain?

3 or more


Can three points be noncoplanar?

No, A plane can be drawn through any 3 points. If the 3 points are collinear then they make a line and a plane can contain a line. If the points are noncollinear then they can be used to form the corners of a triangle; all points of a triangle are in the same plane.


How many planes will contain 3 noncollinear points?

1, exactly 1 plane will


How many points can be on one 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.


What three points determine a pane?

Any 3 geometric points, as long as they are all in different locations and not superimposed on each other, will define a plane. In other words, there is only one plane that can pass through 3 distinct points. If you had only two points, it would define a line, but not a plane. A plane can include 2 points but if there are only 2 that are specified, the plane can rotate around those 2 points, generating infinitely many planes.


How many points do you need to determine a unique plane?

a plane is any plane surface it usually have 3 or 4 points * * * * * You need only three points provided they are not collinear. And most planes have infinitely many points although there are geometries with only a finite number of points.


Can three points that define a particular plane also define a different plane?

Only if the 3 points are all in the same line. Then there are an infinite number of planes.If the 3 points are not all in the same line, then there is only one unique plane that contains them.That's what "define" means.


Does a plane has two points?

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.


Three points that determine a plane?

Any 3 points determine a plane.


Can two points determine a plane?

No, 2 points define a line, 3 points define a plane.


What is Three points determine a plane?

If you were to have 3 points on the same line, then you would actually not be determining a plane, because there are infinitely many planes that can intersect a given line. But if you have 3 points in the form of the points (or vertices) of a triangle, then you determine a plane in the sense that there is only one possible plane upon which that triangle can be drawn (not including a degenerate triangle, which is equivalent to a line).