Given the complex numbers belowz1=−23+2iz2=32+i⋅332z_1 = -2\sqrt{3} + 2i \qquad z_2 = \frac{3}{2} + i \cdot \frac{3\sqrt{3}}{2}z1=−23+2iz2=23+i⋅233Find∣z1∣\vert z_1 \vert∣z1∣ and ∣z2∣\vert z_2 \vert∣z2∣θ1\theta_1θ1 and θ2\theta_2θ2Without converting these complex numbers to polar form, find z1⋅z2z_1 \cdot z_2z1⋅z2 and z1z2\frac{z_1}{z_2}z2z1Find∣z1⋅z2∣\vert z_1 \cdot z_2 \vert∣z1⋅z2∣ and ∣z1z2∣\left\vert \frac{z_1}{z_2} \right\vertz2z1State whether the answers for item c make sense based on what you got for item a. Explain with rich detail.