Vector addition
- Add horizontal components.
- Add vertical components.
- Write the result as a vector.
Answer: (1, 5) + (3, 2) = (4, 7)
𝑥 Algebra
Vectors
Learn vectors with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Vectors is part of advanced topics and appears often in KS3–GCSE maths.
- Vectors describe movement with direction and magnitude.
- Use the worked model, help guide, interactive question and flashcards to practise vectors until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Vectors learning map
Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.
3. Help guide
How to tackle Vectors
- Learn the rule: Vectors describe movement with direction and magnitude.
- Worked model: Add horizontal components. Add vertical components. Write the result as a vector.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
Add vectors (2, 3) and (4, -1).
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Vectors
BackVectors describe movement with direction and magnitude.
FrontExample answer: Add vectors (2, 3) and (4, -1).
Back(2 + 4, 3 + -1) = (6, 2).
FrontCommon check for Vectors
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.