Complex Number Multiplication Demonstration by jimfay55

Complex Number Multiplication Demonstration by jimfay55
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2016-05-19 21:59
This example demonstrates the geometric meaning of complex number multiplication, visually showing the result through vector rotation and scaling. It involves core mathematical concepts including algebraic representation of complex numbers, geometric interpretation, vector operations, and trigonometric functions. The construction uses GeoGebra commands like Point, Segment, Angle and objects such as w, Z, C, a, b, D, c, α, β, E, d, γ, r, s, w_1, s_1, text2, text2_1, u, Aw, Az, Azw, Rez, Imz, Rew, Imw, text1_2, text1_1, Rezw, Imzw, text1. It is suitable for high school mathematics teaching, helping students understand the essence and geometric application of complex number multiplication.

GeoGebra Commands & Parameters

  1. Point(yAxis) → C
  2. Segment(C, w) → a
  3. Segment(C, Z) → b
  4. Point(xAxis) → D
  5. Segment(D, C) → c
  6. Angle(D, C, w) → α
  7. Angle(D, C, Z) → β
  8. Segment(C, E) → d
  9. Angle(D, C, E) → γ