Chapter 6.5, Problem 35E

To determine

To calculate:

Difference of given complex numbers geometrically.

Answer to Problem 35E

Difference of given complex numbers geometrically is $-6i$ shown as below:

  

Explanation of Solution

Given information:

Complex number $2-\left(2+6i\right)$

Calculation:

Consider given Complex number is $2-\left(2+6i\right)$

Let $A=\left(2,0\right)$ and $B=\left(-3,2\right)$ represents complex number $2$ and $2+6i$

Plot the points $A$ and $-B$ on graph paper from the graph paper,

  $A+\left(-B\right)=\left(0,-6\right)$

Subtract the complex number orderly,

  $2-\left(2+6i\right)=-6i$

Points on graph paper is shown as below:

  

Therefore, the difference is $-6i$ .