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Angle between two complex numbers on an Argand diagram

Angle between two complex numbers on an Argand diagram

IB Year 6 | Grade 12

Two complex numbers are given by \(z_1=\sqrt{3}+i\) and \(z_2=-1+i\).

  1. Show \(z_1\) and \(z_2\) on the same Argand diagram.
  2. If \(z_1\) and \(z_2\) are represented by points \(P\) and \(Q\) respectively, find the angle \(POQ\).

Solution:

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Answer:(a) \(P(\sqrt3,1),\ Q(-1,1)\) (b) \(\angle POQ=\dfrac{7\pi}{12}\)

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