plumiVectors: Edexcel International A Level Maths questions
Every Edexcel International A Level Maths exam question on P4.7 Vectors, 2019–2025, with its mark scheme and examiner’s report.
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All 20 questions on Vectors, as a list
- June 2025, Pure 4 (P4), Q6 (8 marks): Relative to a fixed origin O, • the point A has position vector i + 2j – 3k • the point B has position vector 5i + 2j + k The line l passes through A and B. (a)
- June 2025 (A), Pure 4 (P4), Q8 (11 marks): Relative to a fixed origin O, • the point A has position vector 2i – j + 5k • the point B has position vector 3i + 4j – 6k Given that the line l passes through
- January 2025, Pure 4 (P4), Q8 (12 marks): Relative to a fixed origin O, the line l has equation r 2 1 3 4 2 1 where λ is a scalar parameter. The point A and the point B l
- October 2024, Pure 4 (P4), Q8 (10 marks): Relative to a fixed origin O • the point A has coordinates (–10, 5, –4) • the point B has coordinates (–6, 4, –1) The straight line l1 passes through A and B. (
- June 2024, Pure 4 (P4), Q2 (6 marks): With respect to a fixed origin, O, the point A has position vector OA → = 7 2 5 Given that AB → = 2 4 3 (a) find the coordinates of the point
- June 2024, Pure 4 (P4), Q6 (10 marks): With respect to a fixed origin O, the line l1 is given by the equation r = i + 2j + 5k + λ(8i – j + 4k) where λ is a scalar parameter. The point A lies on l1 Gi
- January 2024, Pure 4 (P4), Q6 (14 marks): Relative to a fixed origin O, the lines l1 and l2 are given by the equations l1 : r = (3i + pj + 7k) + λ (2i – 5j + 4k) l2 : r = (8i – 2j + 5k) + μ (4i + j + 2k
- October 2023, Pure 4 (P4), Q6 (10 marks): The line l1 has equation 2 1 3 2 7 2 r where λ is a scalar parameter. The line l2 has equation 2 4 3 1 7 8
- June 2023, Pure 4 (P4), Q4 (10 marks): Relative to a fixed origin O, • the point A has position vector 4i + 8j + k • the point B has position vector 5i + 6j + 3k • the point P has position vector 2i
- January 2023, Pure 4 (P4), Q6 (8 marks): Relative to a fixed origin O. • the point A has position vector 2i – 3j + 5k • the point B has position vector 8i + 3j – 7k The line l passes through A and B. (
- October 2022, Pure 4 (P4), Q3 (5 marks): P Q R Figure 1 Figure 1 shows a sketch of triangle PQR. Given that • PQ → = 2i – 3j + 4k • PR → = 8i – 5j + 3k (a) Find RQ → (b) Find the size of angle PQR, in
- October 2022, Pure 4 (P4), Q9 (5 marks): With respect to a fixed origin O, the equations of lines l1 and l2 are given by l1 : r = 2 8 10 + λ − 1 2 3 l2 : r = − −
- June 2022, Pure 4 (P4), Q6 (9 marks): Relative to a fixed origin O, • the point A has position vector i – 4j + 3k • the point B has position vector 5i + 3j – 2k • the point C has position vector 3i
- January 2022, Pure 4 (P4), Q8 (11 marks): With respect to a fixed origin O the points A and B have position vectors 6 6 2 and 6 0 7 respectively. The line l1 passes throu
- October 2021, Pure 4 (P4), Q7 (9 marks): With respect to a fixed origin O, • the line l has equation r = 4 2 3 − + λ − − 4 3 5 where λ is a scalar constant • the point A
- June 2021, Pure 4 (P4), Q7 (10 marks): Relative to a fixed origin O, the line l has equation r = 1 10 9 − − + λ 4 4 2 where λ is a scalar parameter Given that OA → is
- June 2021, Pure 4 (P4), Q9 (8 marks): (i) Relative to a fixed origin O, the points A, B and C have position vectors a, b and c respectively. Points A, B and C lie in a straight line, with B lying be
- January 2021, Pure 4 (P4), Q2 (5 marks): A B C D Figure 1 Figure 1 shows a sketch of parallelogram ABCD. Given that AB → = 6i – 2j + 3k and BC → = 2i + 5j + 8k (a) find the size of angle ABC, giving yo
- January 2021, Pure 4 (P4), Q8 (6 marks): With respect to a fixed origin O, the lines l1 and l2 are given by the equations 1 2 1 2 2 4 : 5 1 : 2 3 4 5 5 l λ l μ b − = + −
- October 2020, Pure 4 (P4), Q8 (10 marks): Relative to a fixed origin O, the lines l1 and l2 are given by the equations l1: r = 4 3 2 + λ 3 2 1 where λ is a scalar parameter l2: r = 2 0
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