Graphs of the Complex Conjugate

• Math Methods Complex Numbers
• Quantum Fundamentals 2021

  For each of the following complex numbers, determine the complex conjugate, square, and norm. Then, plot and clearly label each \(z\), \(z^*\), and \(|z|\) on an Argand diagram.

  1. \(z_1=4i-3\)
  2. \(z_2=5e^{-i\pi/3}\)
  3. \(z_3=-8\)
  4. In a few full sentences, explain the geometric meaning of the complex conjugate and norm.