[b]Complex Addition: [/b][math]z_1+z_2[/math][br]If[math]z_1=a_1+b_1i[/math] and [math]z_2=a_2+b_2i[/math] then [math]z_1+z_2=a_1+a_2+(b_1+b_2)i[/math].[br][b][br]Example:[/b] If [math]z_1=2+3i;z_2=1−i[/math] then [math]z_1+z_2=(2+1)+(3−1)i=3+2i[/math].[br][br]The addition can be thought of as vector addition[br][br]       - with separate addition of the real and imaginary parts.[br][br]Addition can be visualized in the complex plane by using parallelograms.[center][br][img 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[/img][/center]