The complex plane is a two-dimensional space used to represent complex numbers. Each complex number, which has a real part and an imaginary part, is plotted as a point on this plane. The horizontal axis represents the real part, while the vertical axis represents the imaginary part. For example, the complex number 3 + 4i would be located at the point (3, 4) on the complex plane.
In the complex plane, operations like addition and multiplication can be visualized geometrically. Adding two complex numbers corresponds to vector addition, while multiplying them involves rotating and scaling. This visualization helps in understanding concepts in complex analysis and electrical engineering, where complex numbers are frequently used.