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Complex Multiplication

Complex Multiplication
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2018-06-10 19:03
Complex NumberTransformationGeometric Construction
This example demonstrates the geometric interpretation of complex multiplication, visually showing how the product of two complex numbers affects the rotation and dilation of their corresponding vectors. Core math concepts include complex numbers, vector rotation, dilation transformation, and analytical geometry. GeoGebra commands like Intersect and Segment are used to create dynamic interactions illustrating the rules of complex multiplication. Suitable for high school mathematics education to understand the geometric intuition of complex operations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Segment(A, z_1) → f
  3. Intersect(f, xAxis) → C
  4. Segment(C, z_2) → g
  5. Segment(C, z_{3}) → h
  6. Segment(C, z_{4}) → i