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Ch 57: Complex Numbers & Vectors

About This Chapter

Gain greater insight into complex numbers and vectors by exploring short videos. Review them from your computer or mobile devices to learn more about dividing complex numbers, solving quadratics, performing operations on vectors and more.

Complex Numbers & Vectors - Chapter Summary

Expert instructors have compiled materials and prepared lessons you can use to boost your knowledge of complex numbers and vectors. Explore entertaining videos that cover the steps involved in adding and subtracting complex numbers, ways to perform operations on vectors and the process of graphing complex numbers. Upon completion of this chapter, you will be able to:

  • Demonstrate how to add, subtract, multiply and divide complex numbers
  • Showcase your ability to graph a complex number on a complex plane
  • Solve quadratics with complex numbers as the solution
  • Exhibit how to perform operations on vectors in the plane
  • Define the dot product of vectors

Feel free to review the lessons in any sequence you desire. Access the lessons as videos or full transcripts. If reviewing videos, take advantage of timelines that allow you to skip to key topics without watching lessons in full. At any time, take short quizzes to assess your comprehension of complex numbers and vectors. A practice chapter exam is also available to test your knowledge of lesson topics.

6 Lessons in Chapter 57: Complex Numbers & Vectors
Test your knowledge with a 30-question chapter practice test
How to Add, Subtract and Multiply Complex Numbers

1. How to Add, Subtract and Multiply Complex Numbers

Knowing that complex numbers exist is the first step. But that knowledge alone won't help you do much with them. Learn the basics of complex number addition, subtraction and multiplication here!

How to Divide Complex Numbers

2. How to Divide Complex Numbers

While adding, subtracting and multiplying complex numbers is pretty straightforward, dividing them can be pretty tricky. It comes down to the process of multiplying by the complex conjugate. Learn about what that is, and how to do it, here.

How to Graph a Complex Number on the Complex Plane

3. How to Graph a Complex Number on the Complex Plane

Graphing complex numbers is pretty straight forward, but it's not necessarily intuitive. Check out this lesson to learn the vocabulary and the conventions that you'll need.

How to Solve Quadratics with Complex Numbers as the Solution

4. How to Solve Quadratics with Complex Numbers as the Solution

When you solve a quadratic equation with the quadratic formula and get a negative on the inside of the square root, what do you do? The short answer is that you use an imaginary number. For the longer, more helpful answer, check out this lesson!

Performing Operations on Vectors in the Plane

5. Performing Operations on Vectors in the Plane

After watching this video lesson, you should be able to add, subtract, and multiply your vectors. Learn how easy it is to perform these operations and what you need to keep in mind when performing these operations.

The Dot Product of Vectors: Definition & Application

6. The Dot Product of Vectors: Definition & Application

After watching this video lesson, you will be able to find the dot product of vectors both algebraically and geometrically. Learn the difference between the two and what you need in order to calculate them.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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