Adding Complex NumbersYou are currentlynot logged in Click here to log in 

Given two complex numbers, $a+bi$ and $c+di,$ the sum is obtained by adding the separate components:
This is a case of taking advantage of the associative and commutative properties to rearrange the expression and get:
Then we look at $bi+di$ and take out a common factor of $i.$
Plotting the two complex numbers on an Argand Diagram, we can think of them each as a vector, so geometrically, adding complex numbers is the same as adding 2D vectors.
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