Lesson 1.10e

1.10e Position vectors Quiz: OCR Maths, Unit 10

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

In partnership with Revision Ninja

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

Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.

Host this setFree Play

The 20 questions

  1. What type of vector specifies the location of a point relative to a fixed origin?

    • Position vector
    • Unit vector
    • Displacement vector
    • Resultant vector

  2. What is the term for any vector that has a magnitude equal to 1?

    • Equal vector
    • Component vector
    • Unit vector
    • Position vector

  3. Which term describes the vector representing the direct path from point A to point B?

    • Position vector
    • Parallel vector
    • Displacement vector
    • Component vector

  4. What are two vectors called if they share both the exact same magnitude and direction?

    • Unit vectors
    • Component vectors
    • Equal vectors
    • Parallel vectors

  5. What relationship exists between two non-zero vectors if one is a scalar multiple of another?

    • They are unit
    • They are equal
    • They are parallel
    • They are perpendicular

  6. What term is given to the single vector that represents the sum of two vectors?

    • Displacement vector
    • Position vector
    • Component vector
    • Resultant vector

  7. What are the perpendicular vector parts that combine to give a given vector called?

    • Component vectors
    • Resultant vectors
    • Parallel vectors
    • Position vectors

  8. Which expression gives the displacement vector AB in terms of position vectors a and b?

    • b - a
    • a . b
    • a - b
    • a + b

  9. Point A has position vector 2i + 3j and B has 5i + 7j. What is vector AB?

    • 3i - 4j
    • 3i + 4j
    • 7i + 10j
    • -3i - 4j

  10. What is the magnitude of the position vector r = 3i - 4j?

    • 25
    • 5
    • 1
    • 7

  11. What is the distance between the points with position vectors i + 2j and 4i + 6j?

    • 7 units
    • 3 units
    • 5 units
    • 25 units

  12. Which vector is a unit vector in the same direction as 6i + 8j?

    • 3i + 4j
    • 6i + 8j
    • 0.6i + 0.8j
    • 0.8i + 0.6j

  13. If vector B is k(2i - 5j), what value of k makes B opposite in direction to 2i - 5j?

    • 1
    • 2
    • 0
    • -1

  14. A particle moves from position 2i + j to 8i + 9j in 2 seconds. What is its velocity?

    • 6i + 8j
    • 3i + 4j
    • 10i + 10j
    • 5i + 5j

  15. A particle has initial velocity 2i + 3j and acceleration i - j. What is its velocity after 3 seconds?

    • 5i
    • 5i + 6j
    • 3i + 2j
    • 5i - 3j

  16. Two forces (2i + 3j) N and (4i - j) N act on an object. What is the resultant force?

    • 6i + 2j N
    • 2i + 4j N
    • 8i - 3j N
    • 6i + 4j N

  17. If position vectors satisfy AB = 2BC, what is b in terms of a and c?

    • (a + c) / 2
    • 2c - a
    • (2a + c) / 3
    • (a + 2c) / 3

  18. A force of (3i + 4j) N acts on a 2 kg mass. What is the magnitude of acceleration?

    • 5 m/s²
    • 1.25 m/s²
    • 10 m/s²
    • 2.5 m/s²

  19. What is the distance between points with position vectors i - 2j + 3k and 3i + 2k?

    • 9 units
    • sqrt(13) units
    • sqrt(5) units
    • 3 units

  20. A particle at position 2i moves with velocity 3i - 4j. What is its position vector at t = 2?

    • 8i - 4j
    • 6i - 8j
    • 5i - 4j
    • 8i - 8j

All OCR Maths quizzes