Question

Let
z1=a1+ib1
z1=a1+ib1
and
z2=a2−ib2
z2=a2−ib2
, then
z1−z2=
z1−z2=
………….

Answer 1

Answer on Question #58281 – Math – Complex Analysis

Question

Let $z_1 = a_1 + ib_1$ and $z_2 = a_2 - ib_2$ then $z_1 - z_2 = ?$

Solution

$$\begin{array}{l} z_1 - z_2 = (a_1 + ib_1) - (a_2 - ib_2) = a_1 + ib_1 - a_2 + ib_2 = a_1 - a_2 + ib_1 + ib_2 = \\ = (a_1 - a_2) + i(b_1 + b_2). \end{array}$$

Answer: $(a_1 - a_2) + i(b_1 + b_2)$

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