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