Lesson 1.10f

1.10f Distance between two points Quiz: OCR Maths, Unit 10

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.10f, Distance between two points: 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 any unit vector, such as vector i?

    • i
    • 1
    • 2
    • 0

  2. Which formula gives the distance between points with position vectors a i + b j and c i + d j?

    • c-a + d-b
    • √((c+a)² + (d+b)²)
    • (c-a)² + (d-b)²
    • √((c-a)² + (d-b)²)

  3. What is the distance between the points with position vectors 2i + 3j and 5i + 7j?

    • 5
    • 25
    • √7
    • 7

  4. What is the distance between the origin and the point with position vector 6i + 8j?

    • 2√7
    • 14
    • 100
    • 10

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

    • Zero vector
    • Resultant vector
    • Unit vector
    • Position vector

  6. What is the magnitude of the vector 5i - 12j?

    • 169
    • 17
    • -7
    • 13

  7. What is the position vector of the origin in two-dimensional Cartesian space?

    • i + j
    • i - j
    • 0i + 0j
    • 1i + 1j

  8. What is the distance between the points represented by position vectors -i + 2j and 2i - 2j?

    • 1
    • 5
    • √7
    • 7

  9. What location property does a position vector specify for a given point?

    • Velocity of object
    • Direction of motion
    • Position from origin
    • Rate of acceleration

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

    • 1i + 1j
    • 0.3i + 0.4j
    • 3i + 4j
    • 0.6i + 0.8j

  11. What is the distance between points with position vectors 2i + j and 10i + 16j?

    • 13
    • 23
    • 17
    • √23

  12. What term describes two non-zero vectors when one is a scalar multiple of the other?

    • Perpendicular
    • Unit vectors
    • Parallel
    • Equal

  13. What is the distance between points with position vectors 4i - j and i + 3j?

    • 7
    • 5
    • 25
    • √7

  14. What is the single vector called that results from adding two or more vectors together?

    • Position vector
    • Scalar vector
    • Resultant vector
    • Unit vector

  15. Point A is 3i + 2j and B is ki + 6j. If distance AB is 5, what is k?

    • 4
    • 6
    • 9
    • 3

  16. A particle moves from position i + j to 4i + 5j in 2 seconds. What is its speed?

    • 2.5 m/s
    • 10 m/s
    • 2 m/s
    • 5 m/s

  17. What is the distance between the 3D points with position vectors i + 2j + 2k and 4i + 6j + 2k?

    • 5
    • 25
    • 7
    • √17

  18. What is the unit vector in the direction of the vector 8i - 6j?

    • 0.8i - 0.6j
    • 4i - 3j
    • 0.4i - 0.3j
    • 8i - 6j

  19. If point A has position vector 2i + j and B has 5i + 5j, what is vector AB?

    • 7i + 6j
    • 3i - 4j
    • 3i + 4j
    • -3i - 4j

  20. What expression gives the magnitude of a two-dimensional vector x i + y j?

    • x + y
    • x² + y²
    • √(x² + y²)
    • √(x + y)

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