Study the following Argand diagrams to understand better about the geometric plot of complex numbers. This is a diagram on which complex numbers are represented geometrically using Cartesian axes, the horizontal coordinate representing the real part of the number and the vertical coordinate the complex part. Give a look at the following examples of the diagram below.
Argand diagram refers to a geometric plot of complex numbers as points z=x+iy using the x-axis as the real axis and y-axis as the imaginary axis. It can be thought of as a modified Cartesian plane, with the real part of a complex number represented by a displacement along the x-axis, and the imaginary part by a displacement along the y-axis.
Such plots are named after Jean-Robert Argand (1768–1822), although they were first described by Norwegian–Danish land surveyor and mathematician Caspar Wessel (1745–1818). Argand diagrams are frequently used to plot the positions of the zeros and poles of a function in the complex plane.
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