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.
points
line or a segment
If 2 points determine a line, then a line contains infinitely many planes.
Yes, if no endpoints are defined.
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.
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.
points
Yes, it can. A plane can contain any number of points of a line.
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.
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.
A line, ray, or line segment contains an infinite number of points.
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.
yes
Yes and they are the end points
2...Beginning and end
No, it cannot.