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Q: Does a line contain four non-coplanar points?
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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.


Can two points be noncoplanar?

Any three given points can be joined by a common plane, and any two given points can be joined by a common line and an infinite number of common planes.


A line can contain an infinite number of?

points


Can a plane contain one point of a line?

Yes, it can. A plane can contain any number of points of a line.


In general how many planes are there which contain any number of given points?

There are no planes containing any number of given points. Two points not the same define a line. Three points not in a line define a plane. For four or more points to lie in the same plane, three can be arbitrary but not on the same line, but the fourth (and so on) points must lie in that same plane.


How many points may a line contain?

A line, ray, or line segment contains an infinite number of points.


What is the shortest distance between four points?

The shortest distance between four points is a straight line to and from each individual point. If all four points are aligned, the result will be a single straight line through all four points.


Can one line contain two points?

yes


Two noncoplanar liner that do not intersect?

They are skew line. Skew line are two lines that do not intersect but are not parallel.Another definition is skew lines are straight lines that are not in the same plane and do not intersect.Either way, skew lines are the answer to your question since they are noncoplanar and do not intersect.


Exactly one line may contain two points?

Yes and they are the end points


How many points does a line contain?

2...Beginning and end


If a line has several points can it contain several rays?

No, it cannot.