# Numbers | Maths with Lemon

Source: https://mathswithlemon.io/ai-geometry-trigonometry-Vectors%20the%20basic%20principles.html


#### Adding and subtracting vectors


##### What you have to know:

- Addition and subtraction of numbers.

##### Key Points

- 1. Watch the video:
- 2. Vectors in 3 dimensions. Watch this video .

#### Finding vectors from given ones


##### What you have to know:

- The Pythagorean Theorem.

##### Key Points

- 1. Watch the video:
- 2. Solved example with pathways and proofs with vectors. Watch the video .

#### Magnitude of a vector


##### What you have to know:

- The Pythagorean Theorem.

##### Key Points

- 1. Watch the video:
- 2. Magnitude of a 3D vector. Watch this video .

#### Position Vectors


##### What you have to know:

- The Pythagorean Theorem.

##### Key Points

- 1. Watch the video:
- 2. Read this presentation .

#### Direction of a vector


##### What you have to know:

- Trigonometric calculations of \(\sin \theta\), \(\cos \theta\) and \(\tan \theta\).

##### Key Points

- 1. Watch the video:
- 2. Read this presentation .

#### Unit vectors i and j


##### What you have to know:

- Trigonometric calculations of \(\sin \theta\), \(\cos \theta\) and \(\tan \theta\).

##### Key Points

- 1. Watch the video:
- 2. Unit vectors example solved. Watch this video .

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