Complex Number Multiplication Demo by Peter Johnston
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This example demonstrates the geometric meaning of complex number multiplication in the complex plane, visually showing how multiplication affects the position of complex numbers. Core math concepts include algebraic representation, geometric interpretation, and multiplication rules of complex numbers. Construction highlights involve GeoGebra commands like buttons (button1, button2), points (P, z_1, z_2, z_3), texts (text1, text2, text3), and sliders (a). Suitable for high school mathematics teaching to intuitively understand the modulus and argument changes under complex multiplication.
GeoGebra Commands & Parameters
Point P(0.0, 0.0)Random[-3, 3] + (Random[-3, 3] * ί)falseRandom[-3, 3] + (Random[-3, 3] * ί)Random[-9, 9] + (Random[-9, 9] * ί)(z_1 * z_2)