Ch 26: Vectors in Precalculus

About This Chapter

This chapter will help you analyze the importance of vectors in precalculus. Use these lessons to break down different types of vectors and their applications.

Vectors in Precalculus - Chapter Summary and Learning Objectives

Select this chapter to learn more about vectors in precalculus. These lessons will explain the different types of vectors and how they are used in this aspect of mathematics. You can explore this chapter to develop your understanding of:

  • The definition of a vector
  • Vectors in the plane
  • Scalar multiplication
  • Unit and normal vectors
  • Graphing vector functions
  • The dot and cross products of vectors

Lesson Objective
What is a Vector in Math? - Definition & Examples Evaluate vectors and their uses.
Performing Operations on Vectors in the Plane Learn how to solve applied problems that involve performing operations on vectors.
Scalar Multiplication of Vectors: Definition & Calculations Focus on understanding the basic calculations that involve scalar multiplication.
How to Find Unit & Normal Vectors Assess the methods for finding normal and unit vectors.
How to Graph Vector Functions Develop an understanding of how vector functions are graphed.
The Dot Product of Vectors: Definition & Application Compare the algebraic and geometric definition a dot product.
Finding the Cross Product of Two Vectors Explain how to find the cross product of two vectors.

7 Lessons in Chapter 26: Vectors in Precalculus
Test your knowledge with a 30-question chapter practice test
What is a Vector in Math? - Definition & Examples

1. What is a Vector in Math? - Definition & Examples

This lesson explores vectors, operations with vectors, and modern uses of vectors. Using relevant examples and diagrams, the lesson will demonstrate the applications of vectors in the world.

Performing Operations on Vectors in the Plane

2. 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.

Scalar Multiplication of Vectors: Definition & Calculations

3. Scalar Multiplication of Vectors: Definition & Calculations

After watching this video, you will be able to explain what scalar multiplication is and complete basic calculations involving the scalar multiplication of vectors. A short quiz will follow.

How to Find Unit & Normal Vectors

4. How to Find Unit & Normal Vectors

Unit vectors point in the direction of a vector and a normal vector is perpendicular to a vector. In this lesson, we will investigate how to determine unit and normal vectors.

How to Graph Vector Functions

5. How to Graph Vector Functions

Vector functions are often used to describe the position of an object in space. Graphing a vector function is one way to create a visual representation of the motion of the object. In this lesson, you'll learn the steps you need to take to graph vector functions.

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.

Finding The Cross Product of Two Vectors

7. Finding The Cross Product of Two Vectors

After watching this lesson, you will be able to explain what a cross product is and calculate the cross product of two vectors. A short quiz will follow.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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