# Ch 2: Vectors

### About This Chapter

## Vectors - Chapter Summary and Learning Objectives

Understanding vectors is an important building block in learning about physics. In this series of video lessons led by experienced instructors, you'll gain an overview of types of vectors as well as how to manipulate them. You'll also learn how to perform calculations to better describe a vector's properties. In this chapter, you'll learn things like:

- Types of vectors
- Characteristics for describing and defining vectors
- Types of operations that can be performed on vectors

Video | Objective |
---|---|

What Is a Vector? - Definition & Types | Define vectors, and discuss different kinds of vectors. |

Vector Addition (Geometric Approach): Explanation & Examples | Describe the geometric method of vector addition. |

Resultants of Vectors: Definition & Calculation | Define resultant vector, and describe how to determine the value of one. |

Scalar Multiplication of Vectors: Definition & Calculations | Define scalar multiplication, and explain how to perform scalar multiplication operations. |

Vector Subtraction (Geometric): Formula & Examples | Explain the head-to-tail way of figuring out vector subtraction. |

Standard Basis Vectors: Definition & Examples | Define and give examples of these kinds of vectors. |

How to Do Vector Operations Using Components | Explain how to perform vector operations using components. |

Vector Components: The Magnitude of a Vector | Describe how to determine the magnitude of a vector. |

Vector Components: The Direction of a Vector | Describe how to determine the direction of a vector. |

Vector Resolution: Definition & Practice Problems | Explain how to calculate vector resolution. |

### 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. 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.

### 3. 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.

### 4. 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.

### 5. 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.

### 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 UExcel Physics: Study Guide & Test Prep course

- Introduction to Physics
- Kinematics
- Force and the Laws of Motion
- Work and Energy in Physics
- Linear Momentum in Physics
- Rotational Motion
- Equilibrium and Elasticity
- Waves, Sound, and Light
- Fluids in Physics
- Thermodynamics in Physics
- Electrostatics
- Circuits in Physics
- The Physics of Magnetism
- Wave Optics
- Relativity
- Modern Physics & Nuclear Physics
- UExcel Physics Flashcards