Chapter 8 - Application of Trigonometry - 8.5 Trigonometric (Polar) Form of Complex Numbers: Products and Quotients - 8.5 Exercises - Page 801: 30

$$2 + 4i$$

$$\eqalign{ & {\text{Let }}{\bf{u}} = 2 + 6i,{\text{ and }}{\bf{v}} = - 2i \cr & {\text{Find the sum }}{\bf{u}} + {\bf{v}} \cr & {\bf{w}} = {\bf{u}} + {\bf{v}} \cr & {\bf{w}} = \left( {2 + 6i} \right) + \left( { - 2i} \right) \cr & {\bf{w}} = 2 + 6i - 2i \cr & {\text{Add imaginary parts}} \cr & {\bf{w}} = 2 + 4i \cr & \cr & {\text{Graph}} \cr} $$