This exam tips covers Exam Tips within Vectors (Geometry Proofs) for GCSE Mathematics. Revise Vectors (Geometry Proofs) in Geometry & Measures for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 10 of 11 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.
Topic position
Section 10 of 11
Practice
14 questions
Recall
12 flashcards
Exam Tips
- Always show the route: write AB = AO + OB before substituting. Examiners want to see the path, not just the answer.
- Factor out clearly: write ½(-a + b) rather than leaving it unexpanded — it makes the scalar multiple obvious.
- State the conclusion: never let the algebra speak for itself. Write "Therefore PQ is parallel to AB" or "Therefore A, B, C are collinear."
- Watch the direction of arrows: if the arrow in the diagram points from B to A but you need AB, that is -BA.
- Collinearity needs two conditions: parallel direction AND a shared point. Say both explicitly.
- Common error: writing OA = a when OA means the magnitude. Context matters — in vector geometry OA usually means the vector.