plumiVectors: Edexcel A‑Level Maths questions
Every Edexcel A-Level Maths exam question on P.10 Vectors, 2019–2025, with its mark scheme and examiner’s report.
Find questions447
![November 2021 AS Pure, question 4: [In this question the unit vectors i and j are due east and due north respectively.] A stone slides horizontally across ice. Initially the stone is at the point](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/8ma0-01-nov21-04-qp.webp)
![November 2020 AS Pure, question 2: [In this question the unit vectors i and j are due east and due north respectively.] A coastguard station O monitors the movements of a small boat. At 10:00 the](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/8ma0-01-nov20-02-qp.webp)
All 16 questions on Vectors, as a list
- June 2025, Pure 1, Q10 (6 marks): Given that • PQ → = 2i + 8j – 2k • QR → = 6i + 6k (a) find PR →. (2) (b) Hence show that triangle PQR is both right-angled and isosceles. (4)
- June 2025, AS Pure, Q3 (6 marks): Relative to a fixed origin O • the point A has coordinates (3, –8) • the point B is such that AB → = –5i + 2j (a) Find the exact value of ½OB →½ (3) (b) Find th
- June 2024, Pure 2, Q7 (5 marks): A B l Figure 2 Figure 2 shows a sketch of the straight line l. Line l passes through the points A and B. Relative to a fixed origin O • the point A has position
- June 2024, AS Pure, Q3 (8 marks): Relative to a fixed origin O, • point P has position vector 9i – 8j • point Q has position vector 3i – 5j (a) Find PQ → (2) Given that R is the point such that
- June 2023, Pure 1, Q3 (3 marks): Relative to a fixed origin O • the point A has position vector 5i + 3j + 2k • the point B has position vector 2i + 4j + ak where a is a positive integer. (a) Sh
- June 2023, Pure 2, Q6 (6 marks): Relative to a fixed origin O, • A is the point with position vector 12i • B is the point with position vector 16j • C is the point with position vector (50i + 1
- June 2023, AS Pure, Q13 (7 marks): Relative to a fixed origin O • point A has position vector 10 3 i j − • point B has position vector 8 9 i j • point C has position vector 2 i j p where p is a c
- June 2022, Pure 1, Q9 (6 marks): P S R Q Figure 3 Figure 3 shows a sketch of a parallelogram PQRS. Given that • PQ → = 2i + 3j − 4k • QR → = 5i − 2k (a) show that parallelogram PQRS is a rhombu
- June 2022, Pure 2, Q13 (6 marks): Relative to a fixed origin O • the point A has position vector 4i − 3j + 5k • the point B has position vector 4j + 6k • the point C has position vector −16i + p
- June 2022, AS Pure, Q3 (6 marks): The triangle PQR is such that PQ → = 3i + 5j and PR → = 13i − 15j (a) Find QR → (2) (b) Hence find ½QR →½ giving your answer as a simplified surd. (2) The point
- November 2021, Pure 1, Q6 (5 marks): B C A Figure 1 Figure 1 shows a sketch of triangle ABC. Given that • AB → = −3i − 4j − 5k • BC → = i + j + 4k (a) find AC → (2) (b) show that cos ABC = 9 10 (3)
- November 2021, AS Pure, Q4 (5 marks): [In this question the unit vectors i and j are due east and due north respectively.] A stone slides horizontally across ice. Initially the stone is at the point
- November 2020, Pure 1, Q3 (4 marks): Relative to a fixed origin O ● point A has position vector 2i + 5j − 6k ● point B has position vector 3i − 3j − 4k ● point C has position vector 2i − 16j + 4k (
- November 2020, AS Pure, Q2 (6 marks): [In this question the unit vectors i and j are due east and due north respectively.] A coastguard station O monitors the movements of a small boat. At 10:00 the
- June 2019, Pure 2, Q10 (6 marks): A B O Figure 7 Figure 7 shows a sketch of triangle OAB. The point C is such that OC | = 2OA |. The point M is the midpoint of AB. The straight line through C an
- June 2019, AS Pure, Q16 (5 marks): (i) Two non-zero vectors, a and b, are such that µa + b µ= µ a µ+ µ b µ Explain, geometrically, the significance of this statement. (1) (ii) Two different ve
Questions, mark schemes and examiner’s reports are © Pearson Edexcel, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? Every Edexcel A-Level Maths paper, or our free Edexcel-style practice pack.
Rather write your answers by hand on iPad? Plumi marks them against the same mark schemes.