Free Professional Development

Or

Algebra 2

You may have learned about vectors in two-dimensional coordinate space, but did you know that vectors can be three-dimensional, too? With an introduction to 3-Vectors, you will learn about 3-Vector Components, such as the Magnitude of 3-Vectors, and the Direction of 3-Vectors. You will practice operations involving 3-Vectors include the Cross Product, and Multiplying 3-Vectors by a Scalar.

- 3-Space
- 3-Vectors
- 3-Vector Components
- Adding and Subtracting 3-Vectors
- Multiplying 3-Vectors by a Scalar
- Magnitude of 3-Vectors
- Calculating the Magnitude of a 3-Vector
- Direction of 3-Vectors
- Calculating the Direction of a 3-Vector
- Cross Product
- Finding the Cross Product of Vectors
- Magnitude of a Cross Product
- Calculating the Magnitude of a Cross Product
- Direction of a Cross Product
- Determining the Direction of a Cross Product
- Dot Products
- Finding the Dot Product
- Dot Product of 3-Vectors
- Calculating the Dot Product of 3-Vectors
- Vector Angle Formula
- Finding the Angle Between Two Vectors

Study fundamental topics in college-level algebra with emphasis on application.

Grasp core concepts of statistics such as probability distributions, approximations, and hypothesis-testing.

Pathways are a sequence of tutorials that help you learn a whole subject area, one concept at a time. Choose from multiple teachers and teaching styles.

The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 27 of Sophia's online courses for college credit. These courses are eligible to transfer to many different colleges and universities.