No.
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3 points must always be contained in one plane, as 2 make a line, it makes no difference as to where the third point is, it will exist in the same plane in the two. Aside from all three points being in a line, this is always true.
Non collinear refers to three or more points that are not all on the same straight line.
Typically, a line is named with two points on the line.
Two intersecting lines can always cover three non-collinear points.
In order for three or more points to be collinear, they must lie on the same line. Two points would always be collinear. Noncollinear are points that do not lie in the same line.