Question

Plot the complex number, then write the complex number in polar form. You may express the argument in degrees.

Answer 1

DEFINITIONS

To represent a complex number we need to address the two components of the number.

Consider the complex number:

`a+bi`

Complex numbers are the points on the plane, expressed as ordered pairs (a, b), where a represents the coordinate for the horizontal axis and b represents the coordinate for the vertical axis.

Note that the imaginary part is plotted out on the vertical axis while the real part is on the horizontal axis.

QUESTION

The complex number is given to be:

`4\sqrt[]{3}-4i`

This means that the ordered pair representing the complex number is given to be:

`(a,b)=(4\sqrt[]{3},-4)`

This means that the point will be positive on the real axis and negative on the imaginary axis. Therefore, the point will be in the 4th quadrant.

The correct option is OPTION B.