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

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Q: How many non collinear points are needed to create a plane?
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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.


If four points are collinear they are also coplaner?

I dont think that "If four points are collinear they are also coplaner," is the same thing as "If four points are coplaner they are also collinear,". The definition of collinear is at least three points on the same line. To define a plane is to have threenoncollinear points.


What would happen if three collinear points are used to define a 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.


What is the greatest number of planes that can pass through three collinear points?

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.


Can 3 collinear points define a plane?

No, they have to be noncolinear, that is they all can't be on the same line.

Related questions

How many non-collinear points are needed to create a plane?

To create a plane, infinitely many. To uniquely determine a plane, just three.


Are points that are collinear also coplanar explain?

Points that are collinear will be located on the same line. A line is a subset of a plane. Therefore, Yes, points that are collinear will be located on the same 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.


How many non collinear points are there on a plane?

two points form a line one more point is needed to check whether it is collinear or not so atleast three points must be require to check the non collinerancy of a points


Differentiate of collinear points and coplanar points?

Collinear points are points that lie on the same line, while coplanar points are points that lie on the same plane.


What are points all in one plane called?

collinear


Three collinear points determine a plane?

Yes.


If four points are collinear they are also coplaner?

I dont think that "If four points are collinear they are also coplaner," is the same thing as "If four points are coplaner they are also collinear,". The definition of collinear is at least three points on the same line. To define a plane is to have threenoncollinear points.


What are the meaning of collinear and coplanar points?

They are lines or points that lie on the same plane. Remember 3 or more points are collinear if they lie on the same line. IF those lines lie on the same plane they are coplanar.


If three points are coplanar then are they collinear?

Not necessarily. Coplanar means that points lie on the same plane whereas collinear means that points lie on the same line. Points on a plane do not necessarily lie along the same line.


How many non-collinear points define a plane?

Three


What do three non-collinear points determine?

For instance a plane.