Convert the complex number into its polar representation:

-4

-4i is a complex number, and complex number can be seen as vector too.

Polar form of a number, on the other hand is representation of the number in polar coordinates. So, converting complex number into its polar representation is writing the complex number in terms of a distance from the origin and a direction (or angle) from the positive horizontal axis.

The polar form of complex number can be written as:

x+yj=r (cos (alfa) + sin (alfa)), where r is the absolute value (the modulus) of the complex number and alfa is the argument of the complex number.

r=sqrt (x^2+y^2) = sqrt (4^2+0) = sqrt (16) = 4

alfa=tanges^ (-1) (0/4) = tanges (0) = 0

-4i=4 * (1+0) = 4