Lesson 10.1.1

10.1.1 Vectors in two and three dimensions Quiz: Pearson Edexcel Maths, Unit 10

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 10.1.1, Vectors in two and three dimensions: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 10: Vectors, written with Revision Ninja.

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The 20 questions

  1. What represents a quantity having both magnitude and direction?

    • Vector
    • Scalar
    • Modulus
    • Integer

  2. Which term describes a vector with a magnitude of one?

    • Unit vector
    • Zero vector
    • Base vector
    • Position vector

  3. What is the three-dimensional Cartesian unit vector along the z-axis?

    • k
    • i
    • r
    • j

  4. How is the magnitude of the 3D vector 3i + 4j + 12k calculated?

    • sqrt(19)
    • 13
    • 7
    • 19

  5. What vector describes the position of point A relative to the origin?

    • Displacement vector
    • Position vector
    • Direction vector
    • Unit vector

  6. What is the result of multiplying the vector 2i - 3j by the scalar 4?

    • 2i - 12j
    • 8i - 12j
    • 6i - 7j
    • 8i - 3j

  7. What term describes vectors that act along the same parallel line?

    • Orthogonal
    • Perpendicular
    • Collinear
    • Coplanar

  8. If vector a equals 3i + 4j and vector b equals 6i + 8j, how are they related?

    • Perpendicular
    • Equal
    • Orthogonal
    • Parallel

  9. What do you divide a non-zero vector by to find its unit vector?

    • Its magnitude
    • Its x-component
    • Its dot product
    • Its scalar multiple

  10. What is the unit vector in the direction of 3i - 4j?

    • 0.6i - 0.8j
    • 0.3i - 0.4j
    • 3i - 4j
    • 0.5i - 0.8j

  11. If point A is at (1, 2, 3) and point B is at (4, 6, 15), what is vector AB?

    • 4i + 6j + 15k
    • 5i + 8j + 18k
    • -3i - 4j - 12k
    • 3i + 4j + 12k

  12. Find the distance between the points with position vectors i + 2j + 3k and 4i + 6j + 15k.

    • 169
    • 13
    • sqrt(14)
    • 5

  13. What are the components of the position vector for the point (-2, 5, -1)?

    • -2i + 5j - k
    • -2i + 5j + k
    • -2i - 5j - k
    • 2i + 5j + k

  14. What is the magnitude of the zero vector in three dimensions?

    • Undefined
    • 0
    • 1
    • 3

  15. If vector u = i - 2j + 2k, what is the exact magnitude of u?

    • sqrt(5)
    • 5
    • 3
    • 1

  16. What is the vector sum of 3i + 2j - k and -i + 4j + 5k?

    • 4i - 2j - 6k
    • 2i + 6j + 4k
    • 2i + 8j - 5k
    • 2i - 2j + 4k

  17. Which 3D vector points straight up along the positive vertical axis?

    • k
    • r
    • i
    • j

  18. If vector AB = 4i - 3j + 12k, what is the vector BA?

    • 4i - 3j + 12k
    • -4i + 3j - 12k
    • -4i - 3j - 12k
    • 3i - 4j - 12k

  19. What is the sum of any non-zero vector and its exact negative?

    • Zero vector
    • Identity vector
    • Unit vector
    • Scalar

  20. What is the dot product of orthogonal vectors i and j?

    • 1
    • undefined
    • i + j
    • 0

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