Chapter 6.5, Problem 4E

To determine

Fill in the blanks:

To add or subtract complex numbers geometrically, begin by representing each number as a__

Answer to Problem 4E

To add or subtract complex numbers geometrically, begin by representing each number as a vector.

Explanation of Solution

Complex number is given by,

  $z=a+bi$

Where,

  $a,b$ are real numbers and $i$ is imaginary unit.

To add or subtract complex number first written them as vector,

Then graph the vector $u-v=u+\left(-v\right)$

The resultant vector gives the difference of complex number.

Therefore, to add or subtract two complex numbers first represent them as a vector.