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FP1 Topic 3: Complex numbers
Addition of complex numbers backmore
This Argand diagram shows how complex numbers a and b are added to produce the complex number c. This addition is similar to the "parallelogram law" for adding vectors.
Please enable Java for an interactive construction (with Cinderella).

Summary
  • the Argand diagram illustrates a + b = c, where a, b and c are complex numbers
  • if a = c + di and b = e + fi, then c = a + b = (c+e) + (d+f)i
  • |a + b| is not equal to |a| + |b|
Cinderella interactive graphs Uses Cinderella interactive geometry.