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Complex Number Multiplication Demo by tcadwall

Complex Number Multiplication Demo by tcadwall
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2017-03-15 06:27
VectorComplex NumberGeometric ConstructionGraphing
This example demonstrates the geometric meaning of complex number multiplication in the complex plane, visually showing the multiplication effect through vector rotation and scaling; core math concepts include the geometric representation of complex numbers, vector multiplication, and operations on modulus and argument; construction highlights use of GeoGebra commands/objects like Intersect, Vector, and Polygon; suitable for high school mathematics teaching to help students understand the essence and geometric application of complex number multiplication.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Vector(A, z_1) → u
  3. Vector(A, w) → v
  4. Polygon(A, z_3, z_2) → poly1, z_4, a_1, z_5
  5. Polygon(A, B, z_1) → poly2, z_6, a_2, b