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Ch 8: GACE Math: Vector Operations

About This Chapter

Prepare to have fun reviewing material relating to mathematical vector operations. Informative video lessons accompanied by short, corresponding quizzes for self-assessment are specifically designed to help you prepare for the GACE Math exam.

GACE Math: Vector Operations - Chapter Summary

Follow along with these chapter lessons to review all you need to know regarding operations with vectors in preparation for the GACE Math exam. This chapter will cover these specific topics relating to vector operations:

  • Types of vectors
  • Vector addition & subtraction
  • Scalar multiplication
  • Resultants of vectors

Each video lesson is taught by a knowledgeable instructor who will help you refresh your memory on vector operations. Use the video tags to easily return to any segments you'd like to reexamine.

7 Lessons in Chapter 8: GACE Math: Vector Operations
Test your knowledge with a 30-question chapter practice test
What Is a Vector? - Definition & Types

1. What Is a Vector? - Definition & Types

After watching this lesson, you will be able to explain what vectors are in physics, give some examples of vectors and have a basic idea of how they can be manipulated mathematically. A short quiz will follow.

Practice Adding & Subtracting Vectors

2. Practice Adding & Subtracting Vectors

Vectors are entities that have two pieces of information associated with them, magnitude and direction. In this lesson, we will practice adding and subtracting vectors both graphically and algebraically. To do this we will break vectors down into their components.

Vector Addition (Geometric Approach): Explanation & Examples

3. Vector Addition (Geometric Approach): Explanation & Examples

After watching this video, you will be able to explain why we might need to add two vectors and, given magnitudes and directions, add two vectors using geometric methods. A short quiz will follow.

Understanding Parallelogram of Forces

4. Understanding Parallelogram of Forces

To find the resultant of two forces, you can use the parallelogram of forces law. In this lesson, learn about why the parallelogram of forces works and how to apply it.

Resultants of Vectors: Definition & Calculation

5. Resultants of Vectors: Definition & Calculation

After watching this video, you will be able to explain what a resultant of a vector is and use mathematics to calculate the resultant of two vectors. A short quiz will follow.

Scalar Multiplication of Vectors: Definition & Calculations

6. 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.

Vector Subtraction (Geometric): Formula & Examples

7. Vector Subtraction (Geometric): Formula & Examples

After watching this lesson, you will be able to subtract vectors geometrically and give examples of how that process might be used in physics. 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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Other Chapters

Other chapters within the GACE Mathematics (522): Practice & Study Guide course

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