AS/A2 Pure 5 Pure 6

P4 Topic 3: Complex numbers
Addition of complex numbers
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| ¹ |a| + |b| Uses Cinderella interactive geometry.