Liegt der Punkt auf der Geraden, Vektoren, Punktprobe | Verständlich erklärt

It explains in an understandable way how to check whether a point lies on a straight line using vectors. It is therefore about the point test with vectors. Here the corresponding straight line equation is given in parametric form or has already been set up. The point to be checked is then inserted into the straight line equation for the general vector x, so to speak the point (as a vector) is equated with the straight line. The corresponding equation must then be written out for each row or coordinate, i.e. three equations, which are best given Roman numerals. These equations must be solved separately. If each equation has the same solution for the parameter, the entire system of equations is solvable and the point lies on the straight line. If different solutions result for the parameter, the point does not lie on the straight line. I will explain the topic to you in an understandable way using an example.