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Complex Division with Unit Length

Complex Division with Unit Length
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2017-07-24 04:02
Coordinate GeometryComplex NumberGeometric Construction
This example demonstrates the role of unit length in complex division. Key mathematical concepts include complex division and unit length. Using GeoGebra commands such as Circle, Point, Length, and Angle, the geometric meaning of complex division is constructed. Suitable for high school math education or students learning complex division.

GeoGebra Commands & Parameters

  1. Circle((0, 0), 1) → unit
  2. Point(unit) → z_2
  3. Length(z_1) → r_1
  4. Length(z_2) → r_2
  5. Length(z_3) → r_3
  6. Angle(z_1) → θ_1
  7. Angle(z_2) → θ_2
  8. Angle(z_3) → θ_3