# Ch 3: Using Vectors in Physics

### About This Chapter

## Using Vectors in Physics - Chapter Summary

Understanding the use of vectors in physics is simple with help from these fun video lessons. Created by top instructors, the lessons offer an informative examination of vector addition and subtraction, scalar multiplication of vectors, standard basis vectors and other topics related to this subject. Find out how much you understand about each lesson you review by taking its multiple-choice quiz. If you develop questions about specific lesson topics, feel free to send them to our experts via the Dashboard. Once you've completed this chapter, you will be able to:

- Define and list types of vectors
- Explain the geometric approach to vector addition and subtraction
- Share the meaning of a resultant of vectors
- Understand calculations involving the scalar multiplication of vectors
- Provide the definition of standard basis vectors
- Describe how to use components to do vector operations
- Discuss the magnitude and direction of a vector
- Define vector resolution and vector diagrams
- Grasp the basics of free-body diagrams

### 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.

### 2. What are Vector Diagrams? - Definition and Uses

After watching this video, you will be able to explain what vector diagrams are and how they are used, including vector addition and subtraction. A short quiz will follow.

### 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.

### 4. 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.

### 5. 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.

### 6. Standard Basis Vectors: Definition & Examples

After watching this lesson, you will be able to explain what standard basis vectors (otherwise known as unit vectors) are and how they are useful. A short quiz will follow.

### 7. How to Do Vector Operations Using Components

After watching this lesson, you will understand how we analyze physics involving two-dimensional vectors and be able to split a vector at an angle into a vertical and horizontal component. A short quiz will follow.

### 8. Vector Components: The Magnitude of a Vector

After watching this lesson, you will be able to explain what the magnitude of a vector refers to, and how to calculate it when given the components of a vector. A short quiz will follow.

### 9. Vector Components: The Direction of a Vector

After watching this lesson, you will be able to explain what is meant by the direction of a vector and calculate the direction of a vector when given the x and y components. A short quiz will follow.

### 10. Vector Resolution: Definition & Practice Problems

After watching this lesson, you will be able to explain what vector resolution is and solve problems involving vector resolution. A short quiz will follow.

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### Other Chapters

Other chapters within the Physics 111: Physics I course

- Math Basics for Physics
- The Scientific Model
- Displacement, Velocity & Acceleration
- Understanding Kinematics in Physics
- Basics of Newton's Laws of Motion
- Newton's Law of Gravitation
- Understanding Work, Energy & Power
- Linear Momentum
- Overview of Rotational Motion
- Overview of Oscillations in Physics
- Overview of Waves in Physics
- Overview of Sound in Physics
- Overview of Light in Physics
- Overview of Fluids in Physics
- Studying for Physics 111