# Numbers | Maths with Lemon

Source: https://mathswithlemon.io/analysis-calculus-the%20limit.html


#### Limits


##### What you have to know:

- You must be able to manipulate algebraic expressions. (If not, check this lesson)
- You must be able to manipulate exponential expressions. (If not, check this lesson)
- You must be able to manipulate logarithmic expressions. (If not, check this lesson)

##### Key Points

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

#### Vector equation of a line in 3D.


##### What you have to know:

- Vector equation of a line in 2D

##### Key Points

- 1. Watch the video:
- 2.Watch this solved problem video

#### Scalar product


##### What you have to know:

- How to calculate the magnitude of a vector.
- How to find an angle using the inverse function of cosine.

##### Key Points

- 1. Watch the video:
- 2.Perpendicular vectors and dot product. Watch this video
- 2.Example of perpendicular vectors. Watch this video

#### Cross product of two vectors


##### What you have to know:

- How to calculate the scalar product of two vectors
- How to find an angle using the inverse function of cosine.

##### Key Points

- 1. Watch the video:
- 2.How to find the area of a triangle using the vector product. Watch this video

#### Angle between two lines


##### What you have to know:

- How to calculate the scalar product of two vectors
- How to find an angle using the inverse function of cosine.

##### Key Points

- 1. Watch the video:
- 2.Perpendicular vectors to a line and distance. Watch this video

### IB Past Paper Problems

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