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Are four collinear points also coplanar?

Yes, four collinear points are also coplanar. Collinear points lie on the same straight line, and any set of points that includes at least three points can be contained within a plane. Therefore, since collinear points can be defined within a single plane, four collinear points must be coplanar.


Four points are alwats coplanar if they?

-lie in the same plane -are collinear


What is different of collinear point from non collinear point and coplanar point from non coplanar point?

Three or more points are collinear if they are all in the same straight line. They are non collinear if at least one of them is not on the same line as the rest. Four or more points are coplanar if they are all in the same plane. They are non coplanar if at least one of them is not on the same plane as the rest.


How many planes can be determined if the point noncollinear?

The answer depends on the number of point. One point - as the question states - cannot be non-collinear. Any two points are always collinear. But three or more points will define a plane. If four points are non-coplanar, they will define four planes (as in a tetrahedron).


Does a line contain four non-coplanar points?

No, a line cannot contain four non-coplanar points. By definition, coplanar points are points that lie in the same plane, and any three points determine a plane. Since a line consists of an infinite number of points that are linear, any additional point beyond two points on a line will not be able to create a non-coplanar arrangement with those already on the line. Thus, four points on a line must be coplanar.

Related Questions

Are four collinear points also coplanar?

Yes, four collinear points are also coplanar. Collinear points lie on the same straight line, and any set of points that includes at least three points can be contained within a plane. Therefore, since collinear points can be defined within a single plane, four collinear points must be coplanar.


If four points are collinear are they also coplanar.?

Yes, they are.


If four points are collinear they are also coplanar.?

Yes, they are.


Four points are always coplanar if?

all of them are collinear they lie in the same plane


If four points are collinear they are also coplanar?

Yes, since any line can be contained in a plane.


Four points are always coplanar if they?

lie on the same plane and are collinear


Four points are alwats coplanar if they?

-lie in the same plane -are collinear


If four points are coplanar then they are noncollinear?

They need not be. The four vertices of a quadrilateral are coplanar but NOT collinear. On the other hand, any line (in Eucledian geometry) has an infinite number of points on it - all of which are coplanar.


What is different of collinear point from non collinear point and coplanar point from non coplanar point?

Three or more points are collinear if they are all in the same straight line. They are non collinear if at least one of them is not on the same line as the rest. Four or more points are coplanar if they are all in the same plane. They are non coplanar if at least one of them is not on the same plane as the rest.


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.


How many plane are determined by four non collinear points?

exactly nine planes! * * * * * I would have said 4 - corresponding to the four faces of a tetrahedron. Of course, non-collinear does not mean non-coplanar so all four points could be in the same single plane!


How many planes can be determined if the point noncollinear?

The answer depends on the number of point. One point - as the question states - cannot be non-collinear. Any two points are always collinear. But three or more points will define a plane. If four points are non-coplanar, they will define four planes (as in a tetrahedron).