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. 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. 2

    How many numbers do you need to describe a 2D vector?

  3. 3

    Here's a 2D vector (3, 2) on a grid — it goes 3 steps right, 2 steps up.

  4. 4

    Let's add two 2D vectors: (2, 3) + (1, 4)

  5. 5

    Drag the arrow to show the vector (4, 1) on the grid.

  6. 6

    What is (1, 2) + (3, 0)?

  7. 7

    Now try a 3D vector: (1, 2, 3) + (2, 0, 1)

  8. 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.