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: J2 Calculate the magnitude and direction of a vector and convert between component form and magnitude/direction form..
Explanation
Why this works
Use the explanation to connect the worked answer back to J2 Calculate the magnitude and direction of a vector and convert between component form and magnitude/direction form..
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.