### Home > PC3 > Chapter 12 > Lesson 12.3.1 > Problem 12-133

12-133.

Let and

What is the distance between

and?What is the midpoint of

and?What are the modulus and argument of

?Graph the point associated with

.

How for is the point from the origin? This is the modulus.

What angle does the point make with the positive-axis? This is the argument.Evaluate

. De Moivre’s Theorem: Given the complex numbers

, when is raised by a positive integer , the result is: or