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Any three points anywhere in space can be the vertices of a triangle, as long as all three are not colinear.
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.
well yes, obviously. A triangle constitutes of three points, and you can always find a plane that traverses those three points.
Three non-collinear points do not determine a unique spherical triangle.