Geometric Intuition of Complex Number Multiplication

This example dynamically demonstrates the geometric meaning of multiplying complex numbers, showing how the modulus multiplies and the argument adds when two complex numbers are multiplied. It involves core mathematical concepts such as the geometric representation of complex numbers (modulus and argument), vector rotation and scaling, and trigonometric functions. The construction uses GeoGebra commands like Textfield, Point, Vector, and Angle, controlled by buttons for dynamic changes, visually presenting the effect of complex multiplication. Suitable for high school and above learners to understand the geometric essence of complex operations and deepen the relationship between complex numbers and trigonometric functions.