MathsYears 12–13Vectors
2D and 3D vectors
Use vectors in two and three dimensions; add, subtract, find magnitudes and unit vectors
What you'll learn
- 1
Think of a 2D vector as an arrow on a flat grid — it tells you how far to go right/left and up/down. A 3D vector adds a 'depth' arrow, like a drone flying in 3D space.
- 2
How many numbers do you need to describe a 2D vector?
- 3
Here's a 2D vector (3, 2) on a grid — it goes 3 steps right, 2 steps up.
- 4
Let's add two 2D vectors: (2, 3) + (1, 4)
- 5
Drag the arrow to show the vector (4, 1) on the grid.
- 6
What is (1, 2) + (3, 0)?
- 7
Now try a 3D vector: (1, 2, 3) + (2, 0, 1)
- 8
What is (0, 1, 2) + (3, 0, 1)?
Practise 2D and 3D vectors with Whizlo
Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 16–18. Aligned to the UK National Curriculum.