# Ch 1: AP Physics C: Vectors

### About This Chapter

## AP Physics C: Vectors - Chapter Summary

The videos in this physics chapter discuss the nature of vectors and how to work through equations evaluating them. Our instructors provide you with a deep foundation of knowledge about vectors to draw upon in their calculations and analysis during related exams. This chapter includes lessons which explain:

- The definition of vectors
- Resultants of vectors
- Subtraction, addition, and multiplication of vectors
- Vector components
- The dot product and cross product of two vectors

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

What is a Vector? - Definitions & Types | Explore force vectors and velocity vectors in this video explaining vector basics. |

Vector Addition (Geometric Approach): Explanation & Examples | See how to add vectors through the geometric approach. |

Resultants of Vectors: Definition & Calculation | Explore how to find resultant vectors through vector addition. |

Scalar Multiplication of Vectors: Definition & Calculations | Define scalar multiplication and see related equations. |

Vector Subtraction (Geometric): Formula & Examples | Learn how to use the head-to-tail method to solve subtraction equations with vectors in this video. |

Standard Basis Vectors: Definition & Examples | Describe standard basis vectors and how to find them mathematically. |

How to Do Vector Operations Using Components | Explore methods for using direction and magnitude to solve vector operations. |

Vector Components: The Magnitude of a Vector | Explain how to solve for magnitude using the component form of vectors. |

Vector Components: The Direction of a Vector | See steps for solving for direction in component form. |

Vector Resolution: Definition & Practice Problems | Learn to split vectors into two or more to find vector resolution in this lesson. |

The Dot Product and Vectors: Definition & Formula | Review how to find the dot products of two vectors here. |

Finding the Cross Product of Two Vectors | Describe the process of finding the cross product of two vectors in this video lesson. |

### 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.

### 11. The Dot Product and Vectors: Definition & Formula

After watching this lesson, you will be able to explain what a dot product is, how it is different from a cross product, and use equations to calculate dot products. A short quiz will follow.

### 12. 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.

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### Other Chapters

Other chapters within the AP Physics C - Mechanics: Exam Prep course

- AP Physics C: Kinematics
- AP Physics C: Acceleration, Velocity, & Gravity
- AP Physics C: Newton's First Law of Motion
- AP Physics C: Newton's Second Law of Motion
- AP Physics C: Newton's Third Law of Motion
- AP Physics C: Work, Energy, & Power
- AP Physics C: Linear Momentum
- AP Physics C: Rotational Motion
- AP Physics C: Laws of Gravitation
- AP Physics C: Oscillations
- AP Physics C - Mechanics Flashcards