Maths with Lemon

Vector equations of a line in 2D

What you have to know:

Addition / Subtraction of vectors, position vector, magnitude and direction of a vector
(If not, check this lesson)
You must be able to Rearrange Formulae.
(If not, check this lesson)

Key Points

1. Watch the video:

2. Watch this solved problem video

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
3. 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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