plumiEquations of planes: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on F.2 Equations of planes, 2019–2025, 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 7 questions on Equations of planes, as a list
- June 2025, Paper 2, Q11 (12 marks): The line L has vector equation = + − r 5 2 2 1 11 3 λ The point A has coordinates ( ) − − 1, 1, 6 11 (a) Find the coordi
- June 2024, Paper 1, Q5 (5 marks): The points A, B and C have coordinates A(5, 3, 4), B(8, –1, 9) and C(12, 5, 10) The points A, B and C lie in the plane ∏ 5 (a) Find a vector that is normal to t
- June 2023, Paper 1, Q9 (9 marks): The position vectors of the points A, B and C are a = 2i + j + 2k b = −i − 8j + 2k c = −2j respectively. 9 (a) Find the area of the triangle ABC [4 marks] 9 (b)
- June 2022, Paper 1, Q10 (12 marks): In this question all measurements are in centimetres. A small, thin laser pen is set up with one end at A(7, 2, −3) and the other end at B(9, −3, −2) A laser be
- November 2021, Paper 1, Q11 (12 marks): The line L1 has equation r = 2 2 3 2 64 3 75 + l 2 3 −1 2 64 3 75 The line L2 has equation r = 6 4 1 2 64 3 75 + m −2 1 1 2 64 3 75 11 (a) Find the acute angle
- November 2020, Paper 2, Q15 (16 marks): The points A(7, 2, 8), B(7, ×4, 0) and C(3, 3.2, 9.6) all lie in the plane P. 15 (a) Find a Cartesian equation of the plane P. [3 marks] 15 (b) The line L1 has
- June 2019, Paper 2, Q7 (6 marks): The points A, B and C have coordinates A(4, 5, 2), B(−3, 2, −4) and C(2, 6, 1) 7 (a) Use a vector product to show that the area of triangle ABC is 5 11 p 2 [4 m
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