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I think the question you mean to ask is, "Do three collinear points make a triangle?" Linear is simply the adjective form of "line", "collinear" is used to describe points that lie on the same line. (Two points not only can be collinear, but always are, so it makes little sense to describe them as such).Collinear points cannot make a triangle, a triangle requires three noncollinear points.
Any three points anywhere in space can be the vertices of a triangle, as long as all three are not colinear.
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.
False. Three collinear points determine a line while three non-collinear points determine a plane ( A Triangle)
A triangle? Three lines that intersect in three points.