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Not necessarily, eg the three points (0, 0), (1, 1) and (2,0) are not co-linear, but (0,0), (1,1) and (2,2) are.

But three points are co-planar, that is they all lie in one plane.

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Q: Are three points colinear
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Can each plane be uniquely defined by three points?

Yes, a plane can be uniquely defined by three points as long as the three points are not colinear. (Three points are colinear if there is a straight line that passes through all three points.)


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Different points on the same line


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They are points on the line,. If the line is a straight line the points are said to be colinear If all the points are on a line with an equation of the form (x - X)² + (y - Y)² = r² then the points are all points on the circumference of a circle with centre (X, Y) and radius r.


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colinear points


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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.


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