Complex Multiplication Visualization

Complex Multiplication Visualization
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2017-01-23 04:34
This example dynamically demonstrates the geometric meaning of complex multiplication, showing how the magnitude and angle of the product changes when multiplying two complex numbers. It involves core mathematical concepts such as complex numbers, magnitude, angle, vectors, and similarity transformations. The construction uses GeoGebra commands and objects like Intersect, Vector, Circle, Point, and Angle. Suitable for high school and above learners to understand the visual representation and geometric properties of complex operations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → C
  2. Vector(C, A) → u
  3. Vector(C, B) → v
  4. Circle(C, 1) → c
  5. Point(xAxis) → D
  6. Angle(D, C, A) → α
  7. Angle(D, C, B) → β