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Three or more points that lie on the same straight line are called Collinear.
co-linear points?
You have to have three or more points to have non-colinear points because any two points determine a line. Noncolinear are NOT on the same line.
A plane is named by three points in the plane that is not on the same line.
A set of points on a straight line are called 'collinear points'.