Maths with David

    9231. FP1. Vectors. Past Exam Questions

    1. November 2025 (9231/12). Question 6
      • The plane \Pi has equation x + 3y + 2z = 1.
        • (a) Find the perpendicular distance from the origin O to the plane \Pi [2 marks]
      • Relative to O, the points A, B, C have position vectors –j + 2k, 2i – k, 2i – j – k, respectively.
        • (b) Find the acute angle between the planes OAB and \Pi [4 marks]
        • (c) Find an equation for the common perpendicular to the lines OC and AB. [8 marks]