Multiplying Complex Numbers by ciara.folens

Multiplying Complex Numbers by ciara.folens
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2017-04-04 18:14
This example demonstrates the geometric interpretation of complex number multiplication, visually showing the process through vector rotation and scaling. It involves core concepts like complex numbers, vectors, magnitude and argument of vectors, Pythagorean theorem, and trigonometric functions. GeoGebra commands and objects used include Intersect, Vector, and Point to construct the vector corresponding to the product of complex numbers. Suitable for high school mathematics teaching to help students understand the connection between algebraic operations and geometric representations of complex multiplication.

GeoGebra Commands & Parameters

  1. Intersect(yAxis, xAxis) → O
  2. Vector(O, (c, d)) → u
  3. Vector(O, (a, b)) → v
  4. Point(O, v) → z_{1}
  5. Point(O, u) → z_{2}
  6. Vector(O, z_3) → w