cartesian coordinate system
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In geometry, a line is somply a collection of points. However, when naming a line, a line is nemed using two of its points.
There is no intrinsic difference. Either can be named using the names of any two points on them, or using any letter or symbol of any alphabet - including symbols that you have made up.
If points B and C are collinear, it means that they lie on the same straight line. To determine if points B and C are collinear, you would need to know the coordinates or have a visual representation of the points.
yes in mathematical world every solution have its graphical representation and its common sense that two points on a graph form only one line.......so two points are always colloinear.....!
Here is one option: 2 points uniquely define a line so a line can be named after any two points that belong to it. Similarly, three points that are not collinear (all in the same line) uniquely define a plane so a plane can be defined by naming any three non-collinear points in it. There are different - though related - forms in coordinate geometry or in vector algebra.