Exam-style question
Try this first
Add the two-dimensional vectors (1, 2) and (3, 4). Show your working one step at a time.
Model answer
What a good answer should say
- The final answer is (4, 6).
- Use vector component addition for the two column vectors.
- Add the horizontal components: 1 + 3 = 4.
- Add the vertical components: 2 + 4 = 6.
This answer is tied to the objective: J3 Add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars, and understand their geometrical interpretations..
Explanation
Why this works
Use the explanation to connect the worked answer back to J3 Add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars, and understand their geometrical interpretations..
exam warm-up keeps the canonical answer (4, 6) fixed before the model answer is written, so the worked solution and final answer agree.
Maths method check
- Topic focus: Pure Mathematics - vectors.
- Question style: exam_style.
- Reasoning demand: recall.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
No common mistake is linked to this question yet.