# Ch 2: Vectors in Physics

### About This Chapter

## About This Chapter

The video lessons in this Vectors in Physics chapter are designed to teach students about the applications of vectors, including how to multiply and subtract them. Once you have watched these lessons, you might have greater knowledge of:

- The direction and magnitude of a vector
- Calculating the cross product of vectors
- How to add vectors using the geometric method

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

What is a Vector? - Definition and Types | Study velocity and force vectors. |

Vector Addition (Geometric Approach): Explanation and Examples | Discuss the process of vector addition and provide examples. |

Resultants of Vectors: Definition and Calculation | Explain the process of adding two vectors and arriving at the resultant vector. |

Scalar Multiplication of Vectors: Definition and Calculations | Explain the scalar multiplication process. |

Vector Subtraction (Geometric): Formula and Examples | Learn to subtract vectors by utilizing the head-to-tail technique. |

Standard Basis Vectors: Definition and Examples | Discover the process of calculating standard basis vectors. |

How to Do Vector Operations Using Components | Explain this process. |

Vector Components: The Magnitude of a Vector | Discover how to calculate the magnitude of a vector. |

Vector Components: The Direction of a Vector | Learn about the process of calculating the direction of a vector component. |

Vector Resolution: Definition and Practice Problems | Learn how to split vectors. |

The Dot Product and Vectors: Definition and Formula | Calculate the dot product. |

Finding the Cross Product of Two Vectors | Learn the process of finding the cross product. |

### 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 Physics: High School course

- Introduction to Physics
- Kinematics in Physics
- Newton's Laws in Physics
- Work, Energy, & Power in Physics
- Linear Momentum in Physics
- Circular Motion and Gravitation in Physics
- Physics Lab Experiments: Motion
- Oscillations in Physics
- Waves, Sound, and Light
- Physics Lab Experiments: Matter & Light
- Electrical Forces and Fields in Physics
- Potential and Capacitance in Physics
- Direct Current Circuits in Physics
- Magnetism in Physics
- Physics Lab Experiments: Electricity
- Thermal Physics & Thermodynamics
- Teaching Resources for High School Physics