For the Complex Numbers Z₁ = 3 + 3i and Z₂

Essay

For the complex numbers z₁ = 3 + 3i and z₂ = -2 - 2i
(a) Find the moduli r₁ and r₂ and the arguments $\theta$ ₁ and $\theta$ ₂.
(b) Compute their product in rectangular form.
(c) Find the modulus r and argument $\theta$ of the product.
(d) Verify that r₁r₂ = r and $\theta$ ₁ + $\theta$ ₂ = $\theta$ .