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.