Let z1=x1+y1i

Let z1=x1+y1i and z2=x2+y2i
Find:
a = Im (z1z2)
b = Re (z1/z2)

Result

a = (Correct answer is: x1*y2+y1*x2-y1*y2)
b =  0

Solution:

$$\begin{gathered} z_1=x_1+y_{1}i \\ {z}_2=x_2+y_{2}i \\ a=Im(z_1\cdot z_2) \\ a=x_1\cdot y_2+y_1\cdot x_2-y_1\cdot y_2 \end{gathered}$$

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