plumiVectors in two dimensions: OCR MEI A‑Level Maths questions
OCR MEI 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 10 questions on Vectors in two dimensions, as a list
- June 2025, AS Paper 1, Q7 (5 marks): c m. a k. The vector AB is 6 – 2 8 7 The point A has position vector 1 (a) On the axes in your Printed Answer Book, draw the position of the points A and B. [2]
- June 2024, Paper 1, Q4 (4 marks): The vectors v1 and v2 are defined by v1 = 2 a i b j and v2 b i 3 j where a and b are constants. + = - Given that 3 v v 22 i 9 j , find the values of a and b. [4
- June 2023, Paper 2, Q5 (3 marks): J N J N 3 5 KK OO and OB KK OO . 5 You are given that OA = - = - 1 3 L P L P Determine the exact length of AB. [3]
- June 2023, Paper 3, Q6 (10 marks): (a) Quadrilateral KLMN has vertices K ( - , 1), L (5, 1 4 - ), M (6, 2) and N (2, 5), as shown in Fig. 6.1. Fig. 6.1 y N (2, 5) R S M (6, 2) K (−4, 1) Q x O P L
- June 2023, AS Paper 1, Q3 (4 marks): p and 5 f 2 f p respectively. The vector AC is f 2 p. - 3 The points A and B have position vectors 1 2 4 - (a) Write down the position vector of C as a column v
- June 2022, AS Paper 2, Q4 (4 marks): = c m and the position vector of Q is q = c m. 4 28 4 The position vector of P is p 3 10 (a) Determine the magnitude of PQ. [2] (b) Determine the angle between
- November 2021, Paper 2, Q6 (5 marks): You are given that v 2 a 3b , where a and b are the position vectors = + = c m and b 5 c 1 m . = - a 3 6 (a) Determine the magnitude of v. [3] (b) Determine the
- November 2021, AS Paper 2, Q8 (4 marks): With respect to an origin O, the position vectors of the points A and B are c m c m 3 6 = - OA and OB . = 20 8 (a) Determine whether AB 2 200 . [2] a k. 18 The
- November 2020, Paper 3, Q4 (3 marks): Fig. 4 shows the regular octagon ABCDEFGH. F E G D H C A B Fig. 4 i CD = , where i is a unit vector parallel to the x-axis and j is a unit vector parallel to th
- November 2020, AS Paper 1, Q3 (5 marks): Fig. 3 shows a triangle PQR. The vector PQ is i+ 7j and the vector QR is 4i- 12j. Q P R Fig. 3 (a) Show that the triangle PQR is isosceles. [3] The point P has
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