CPM Homework Banner

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


Let and .

  1. What is the distance between and ?

  2. What is the midpoint of and ?

  3. 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.

  4. Evaluate .

    De Moivre’s Theorem: Given the complex numbers , when is raised by a positive integer , the result is:  or