plumiVectors in two dimensions: WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 10.1 Vectors in two dimensions, 2018–2025, 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 8 questions on Vectors in two dimensions, as a list
- Summer 2025, AS Unit 1, Q14 (4 marks): 14. The position vectors of the points A and C, relative to a fixed origin O, are given by a = (3i + 4j) and c = (–5i + 12j) respectively. The point B is such t
- Summer 2024, AS Unit 1, Q13 (8 marks): 13. The position vectors of the points A and B, relative to a fixed origin O, are given by b i 3 j, a 4 i 7 j, respectively. (a) Find the vector AB. [2]
- Summer 2024, AS Unit 2, Q6 (4 marks): A ship S is moving with constant velocity 1 4 i 7 j ms 6. , where i and j are unit vectors due east and due north respectively. Find the speed and direc
- Summer 2023, AS Unit 1, Q12 (8 marks): 2 The position vectors of the points A and B, relative to a fixed origin O, are given by a = –3i + 4j, b = 5i + 8j, respectively. a) Find the vector AB. [2] Fin
- Summer 2022, AS Unit 1, Q16 (9 marks): 6 The vectors a and b are defined by a = 2i – j and b = i – 3j. a) Find a unit vector in the direction of a. [2] b) Determine the angle b makes with the x-axis.
- Summer 2022, AS Unit 2, Q10 (6 marks): 0 In this question, i and j represent unit vectors due east and due north respectively. Sarah is going for a walk. She leaves her house and walks directly to th
- Summer 2019, AS Unit 1, Q6 (5 marks): OABC is a parallelogram with O as origin. 0 6 B E D C A O The position vector of A is a and the position vector of C is c. The midpoint of AB is D. The point E
- Summer 2018, AS Unit 1, Q11 (6 marks): 1 a) The vectors u and v are defined by u = 9i – 40j and v = 3i – 4j. Determine the range of values for μ such that μ | v | > | u |. [3] b) The point A has posi
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