Danish geologist C. Wessel, 1798 and J. R. Argand, in 1806 wrote two reports on complex numbers. Both of them had the idea not only to represent complex numbers through a point A in the plane, but also to identify them with the original vector at O and the endpoint A in a Cartesian coordinate system on the plane. Thus, the concept of vectors arises, so finding the sum of two complex numbers means that the sum of the two vectors is geometric objects, for which they exist operations very close to the familiar ones in the set of number.
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Danish geologist C. Wessel, 1798 and J. R. Argand, in 1806 wrote two reports on complex numbers. Both of them had the idea not only to represent complex numbers through a point A in the plane, but also to identify them with the original vector at O and the endpoint A in a Cartesian coordinate system on the plane. Thus, the concept of vectors arises, so finding the sum of two complex numbers means that the sum of the two vectors is geometric objects, for which they exist operations very close to the familiar ones in the set of number.
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