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 = $\theta$ .

Question

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

.

Quizplus · Accepted Answer

The Answer of 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 = $\theta$.

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

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