Consider the complex

Question

Consider the complex number:

Where each Z_i is a complex number with magnitude ¦Z_i¦ and phase ∠Z_i, and each P_i is a complex number with magnitude ¦P_i¦ and phase ∠P_i. Write the magnitude and phase of s in terms of the magnitude and phases of Z₁, Z₂, ..., Z_m, P₁, P₃, ..., P_n.