plumiVectors in two dimensions: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 10.1 Vectors in two dimensions, 2010–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 11 questions on Vectors in two dimensions, as a list
- June 2025, Pure 2, Q14 (8 marks): A B C D Not to scale Figure 4 In this question you must show detailed reasoning. Figure 4 shows a trapezium ABCD where AD is parallel to BC Given that • AB → =
- 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, 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 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, 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, 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 2, Q2 (3 marks): Relative to a fixed origin, points P, Q and R have position vectors p, q and r respectively. Given that ● P, Q and R lie on a straight line ● Q lies one third o
- 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
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