Collinear means they are on the same line. Of course we can draw a line through any two points so they can be collinear.
However, if we have a line, we can easily find another point on that line and a point not on the line. Only the one on the line is called collinear.
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what is The set of all points collinear to two points?
No but they are always coplanar.
line
Collinear points are points that lie on the same line. Noncollinear points do not lie on the same line. Any two points are always collinear, i.e. forming a line. Three or more points can be collinear along a single line.Collinear points lies on the same straight line.
The symbol for collinear points in Geometry are letters. Collinear points are defined as points which are located on the same line.