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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To prove that three points are colinear, pick two points and form the equation of the line they describe, and then see if the third point lies on that line.
Any three points anywhere in space can be the vertices of a triangle, as long as all three are not colinear.
No. A trinagle does not require four points, three are sufficient. And any three points, if they are not colinear, must be coplanar.
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.
colinear points