plumiEquations of planes: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 6.2 Equations of planes, 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 9 questions on Equations of planes, as a list
- June 2024, Core Pure 1, Q7 (10 marks): The line l1 has equation r = i – 2j + 3k + λ(2i + j – 4k) and the line l2 has equation r = 5i + pj – 7k + μ(6i + j + 8k) where λ and μ are scalar parameters and
- June 2023, Core Pure 1, Q5 (12 marks): The line l1 has equation x y z 5 1 4 3 3 5 The plane Π1 has equation 2x + 3y – 2z = 6 (a) Find the point of intersection of l1 and Π1 (2) The line l2 is the ref
- June 2023, AS Core Pure, Q6 (11 marks): The line l1 has equation 2 3 2 0 0 1 λ r where λ is a scalar parameter. The line l2 is parallel to 1 2 3 (a) Show that l1 and l
- 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
- June 2022, AS Core Pure, Q6 (13 marks): The surface of a horizontal tennis court is modelled as part of a horizontal plane, with the origin on the ground at the centre of the court, and • i and j are
- November 2021, Core Pure 1, Q7 (8 marks): The plane Π has equation 3 1 2 3 2 0 2 1 1 λ μ − = + + r where λ and μ are scalar parameters. (a) Show that vector 2i +
- November 2020, Core Pure 1, Q4 (9 marks): The plane Π1 has equation r = 2i + 4j – k + λ (i + 2j – 3k) + μ(–i + 2j + k) where λ and μ are scalar parameters. (a) Find a Cartesian equation for Π1 (4) The l
- November 2020, AS Core Pure, Q4 (13 marks): All units in this question are in metres. A lawn is modelled as a plane that contains the points L (–2, –3, –1), M (6, –2, 0) and N (2, 0, 0), relative to a fix
- June 2019, Core Pure 1, Q7 (7 marks): The line lKDVHTXDWLRQ x y z − = + − = − 1 2 1 1 4 3 The line l2KDVHTXDWLRQ r = i + 3k + t(i − j + 2k where tLVDVFDODUSDUDPHWHU D 6KRZWKDWl an
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