Lesson 1.10d

1.10d Adding vectors Quiz: OCR Maths, Unit 10

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.10d, Adding vectors: 20 multiple choice questions for the OCR Maths (H240), Unit 10: Vectors, written with Revision Ninja.

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The 20 questions

  1. What is the magnitude of a unit vector?

    • 2
    • 0
    • Infinity
    • 1

  2. What is the sum of the vectors (2, 3) and (-1, 5)?

    • (3, 8)
    • (3, -2)
    • (1, 8)
    • (1, -2)

  3. What term describes a single vector representing the combined effect of two or more vectors?

    • Component vector
    • Unit vector
    • Resultant vector
    • Position vector

  4. Given position vectors OA = 3i + 2j and OB = 7i - 4j, find AB.

    • -4i + 6j
    • 4i + 2j
    • 10i - 2j
    • 4i - 6j

  5. Two non-zero vectors a and b are parallel if and only if b equals what?

    • a + k
    • a^2
    • |a|
    • ka

  6. What is the distance between points (1, 2) and (4, 6)?

    • 5.8
    • 25
    • 7
    • 5

  7. Two vectors are defined as equal if they have the same magnitude and what else?

    • Opposite direction
    • Same position
    • Same direction
    • Same start point

  8. If vector a = 3i - 4j, what is -2a?

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

  9. What is the starting point of a position vector?

    • The x-axis
    • The end point
    • The origin
    • Unit distance

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

    • 0.3i + 0.4j
    • 0.6i + 0.8j
    • 1.5i + 2j
    • 3i + 4j

  11. Two forces F1 = 2i + 5j and F2 = 3i - j act on a particle. What is the resultant force?

    • 5i - 4j
    • 6i - 5j
    • -1i + 6j
    • 5i + 4j

  12. In the triangle law of vector addition, how are vectors arranged tail-to-head?

    • Tail to tail
    • Head to head
    • End to start
    • Parallel to each

  13. What is the magnitude of the 3D vector 2i - 3j + 6k?

    • 11
    • 7
    • 49
    • 5

  14. If 2i + kj is parallel to 6i - 15j, what is the value of k?

    • -30
    • -2.5
    • -5
    • 5

  15. What are the mutually perpendicular vectors that sum to a given vector called?

    • Component vectors
    • Equal vectors
    • Resultant vectors
    • Position vectors

  16. A particle has initial velocity u = 2i + j and acceleration a = i - j. Find velocity at t = 3.

    • 3i - 2j
    • 5i + 2j
    • 3i + 0j
    • 5i - 2j

  17. If OA = 2i + 4j and OB = 6i + 10j, what is the position vector of the midpoint of AB?

    • 4i + 6j
    • 4i + 7j
    • 8i + 14j
    • 2i + 3j

  18. Three forces F1 = 4i - 2j, F2 = -i + 5j, and F3 keep a particle in equilibrium. Find F3.

    • 3i + 3j
    • -3i + 3j
    • -3i - 3j
    • 3i - 3j

  19. What is the magnitude of a zero vector?

    • 0
    • 1
    • Infinity
    • Undefined

  20. What is the distance between position vectors i + 2j + 3k and 3i + 6j + 3k?

    • 2 sqrt(5)
    • 20
    • sqrt(12)
    • 4

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