plumiEquations of planes: OCR MEI A‑Level Further Maths questions
OCR MEI 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 6 questions on Equations of planes, as a list
- June 2024, Core Pure, Q11 (14 marks): The plane P has equation x 2 y 2 z 4 . The point P has coordinates (8, 4, 5). - + = (a) Calculate the shortest distance from P to P. [2] The line L has equation
- June 2024, AS Core Pure, Q9 (8 marks): In this question you must show detailed reasoning. Find a vector v which has the following properties. • It is a unit vector. • It is parallel to the plane x y
- June 2023, AS Core Pure, Q10 (7 marks): The plane P has normal vector 2i + aj - k, where a is a positive constant, and the point (3, -1, 1) lies in P. The plane x - = makes an angle of 45° with P. z 3
- June 2022, AS Core Pure, Q2 (7 marks): (a) Show that the vector i j k x y z [3] 4 2 is parallel to the plane 2 3 10 . + + + - = (b) Determine the acute angle between the planes x y z x y z [4] 2 3 10
- November 2020, AS Core Pure, Q10 (7 marks): A vector v has magnitude 1 unit. The angle between v and the positive z-axis is 60°, and v is parallel to the plane x 2 y 0 . - = Given that v = a i b j c k , w
- June 2019, Core Pure, Q2 (3 marks): The plane x 2 y cz 4 is perpendicular to the plane x 2 cy 6 z 9 , where c is a constant. + + = - + = Find the value of c. [3]
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