## Vectors

Vectors show up everywhere in physics: displacement vectors, velocity vectors, acceleration vectors, force vectors, momentum vectors and more. So we definitely want to know how to work with vectors.

While a **scalar** describes the **magnitude** or the value of something (like a speed of 30 km/h), a **vector** describes the
**magnitude and direction** of something (like a velocity of 30 km/h east).
We usually represent vectors as arrows where the length of the arrow tells us the magnitude,
and the direction of the arrow tells us... the direction.

To make vectors more useful, and to add or subtract them, we need to know how to find the **components** of a vector.
We can do that by using the
**trig functions**. We can also use those to find the
magnitude and angle of a vector when starting with the components.

We'll also cover how to describe the **angle** of a vector and how to add vectors using the **tip-to-tail method** or by adding components.

#### 0

##### :

#### 3

#### 3

###### Vectors and components

#### 8

##### :

#### 4

#### 8

###### Coordinate systems

#### 1

#### 3

##### :

#### 0

#### 4

###### How to find components of a vector

#### 1

#### 4

##### :

#### 2

#### 0

###### Summary

Vectors show up everywhere in physics: displacement vectors, velocity vectors, acceleration vectors, force vectors, momentum vectors and more. So we definitely want to know how to work with vectors.

While a **scalar** describes the **magnitude** or the value of something (like a speed of 30 km/h), a **vector** describes the
**magnitude and direction** of something (like a velocity of 30 km/h east).
We usually represent vectors as arrows where the length of the arrow tells us the magnitude,
and the direction of the arrow tells us... the direction.

To make vectors more useful, and to add or subtract them, we need to know how to find the **components** of a vector.
We can do that by using the
**trig functions**. We can also use those to find the
magnitude and angle of a vector when starting with the components.

We'll also cover how to describe the **angle** of a vector and how to add vectors using the **tip-to-tail method** or by adding components.

## 1 comments