This is the definition of collinear. Sometimes spelled co-linear
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The locus of all points that are the same distance from two given points is a perpendicular bisector of the line segment connecting those two points. This line is equidistant from each of the two points at all locations along its length.
Collinear set of points
Yes, of course! By definition a line is a planar figure, and all the points of the line are therefore coplanar.
A line through many points with the same air temperatureis an "isotherm".The "isobar" is a line through many points with the same air pressure.
Non collinear points are not all located on the same line. You can not draw a straight line through all three of them. That's about it. ;)