plumiLines and distances with the vector product: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 10.3 Lines and distances with the vector product, 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 5 questions on Lines and distances with the vector product, as a list
- June 2025, Further Pure 1, Q9 (10 marks): The parallelogram P has vertices E, F, G and H, with coordinates E F G H 10 1 6 7 2 7 10 2 9 13 3 4 , , , , , , , , (a) Determine the exact area of P, giving yo
- June 2024, Further Pure 1, Q9 (10 marks): (i) The line l1 has equation 2 3 3 4 1 1 r λ The line l2 has equation 13 1 5 2 8 5 r μ where λ and μ are scalar parameters. The li
- June 2023, Further Pure 1, Q7 (15 marks): With respect to a fixed origin O the point A has coordinates (3, 6, 5) and the line l has equation (r – (12i + 30j + 39k)) × (7i + 13j + 24k) = 0 The points B a
- June 2022, Further Pure 1, Q6 (6 marks): The points P, Q and R have position vectors 1 2 4 , 3 1 5 and 2 0 3 respectively. (a) Determine a vector equation of the plane that pas
- November 2021, Further Pure 1, Q7 (7 marks): With respect to a fixed origin O, the line l has equation (r – (12i + 16j – 8k)) × (9i + 6j + 2k) = 0 The point A lies on l such that the direction cosines of O
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