Lesson 4.2.8.1

4.2.8.1 Vectors and vector operations Quiz: AQA Computer Science, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 4.2.8.1, Vectors and vector operations: 20 multiple choice questions for the AQA Computer Science (7517), Unit 2: Fundamentals of data structures, written with Revision Ninja.

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The 20 questions

  1. Which notation denotes a 4-vector over the reals?

    • R4
    • 4R with the reals as a multiplier
    • N4 only, because vectors hold integers
    • R/4, the quotient of the reals by four

  2. In the function view of the vector [2.0, 3.14159, -1.0, 2.718281828], what does 1 maps to 3.14159 mean?

    • The entry 1 is replaced by 3.14159
    • The entry at index 1 is 3.14159
    • Index 3.14159 is the largest index
    • The vector has length 3.14159

  3. Which Python list correctly represents the 2-vector over the reals with entries 2.0 and 3.0?

    • 2.0 & 3.0
    • (2.0 3.0)
    • {2.0: 3.0}
    • [2.0, 3.0]

  4. For a vector viewed as a function f: S to R, with S = {0, 1, 2, 3}, what is the co-domain?

    • R, the set of reals
    • The set of all 4-tuples
    • {0, 1, 2, 3}
    • N, the set of natural numbers

  5. Geometrically, what does vector addition achieve?

    • Scaling of the vector's length
    • Rotation of the vector about the origin
    • Reflection in an axis
    • Translation of the vector

  6. Geometrically, what does scalar-vector multiplication achieve?

    • Projection onto an axis
    • Translation
    • Reflection in the origin
    • Scaling

  7. For vectors u = [u1, ..., un] and v = [v1, ..., vn], which expression is the dot product?

    • u1v1 x u2v2 x ... x unvn
    • u1v1 + u2v2 + ... + unvn
    • u1 + v1 + ... + un + vn
    • (u1+v1)(u2+v2)...(un+vn)

  8. What is the dot product of [1, 2, 3] and [4, 5, 6]?

    • 27
    • 15
    • 21
    • 32

  9. What is the dot product of [3, 0] and [0, 4]?

    • 7
    • 0
    • -12
    • 12

  10. What is the angle between the vectors [1, 1] and [1, 0]?

    • 90 degrees
    • 30 degrees
    • 45 degrees
    • 60 degrees

  11. With alpha = 0.25 and beta = 0.75, what is the convex combination alpha u + beta v for u = [0, 0] and v = [4, 8]?

    • [3, 6]
    • [2, 4]
    • [4, 8]
    • [1, 2]

  12. Which pair (alpha, beta) gives a valid convex combination alpha u + beta v?

    • (0.3, 0.7)
    • (-0.2, 1.2)
    • (0.5, 0.6)
    • (1, 1)

  13. How is the vector [2, 3] represented as a dictionary in the spec's index-to-value form?

    • {2: 0, 3: 1}
    • {'x': 2, 'y': 3}
    • [0: 2, 1: 3]
    • {0: 2, 1: 3}

  14. A 2-vector [2.0, 3.0] is drawn as an arrow with its tail at the origin. Where is the head?

    • (0.0, 0.0)
    • (2.0, 3.0)
    • (5.0, 5.0)
    • (3.0, 2.0)

  15. If the dot product of two non-zero vectors is negative, what is the angle between them?

    • Acute, less than 90 degrees
    • Obtuse, greater than 90 degrees
    • Exactly 90 degrees
    • Zero degrees

  16. What is the angle between u = [3, 4] and v = [4, 3], to one decimal place?

    • About 53.1 degrees
    • About 16.3 degrees
    • About 74.0 degrees
    • About 37.0 degrees

  17. Let u = [0, 0] and v = [10, 0]. Which point is alpha u + beta v with alpha = 0.2 and beta = 0.8?

    • [10, 0]
    • [0.2, 0]
    • [8, 0]
    • [2, 0]

  18. Compute a + b and then multiply the result by 2, where a = [1, 2] and b = [3, -1].

    • [8, -2]
    • [4, 2]
    • [10, 4]
    • [8, 2]

  19. A vector is stored as the dictionary {0: 1.5, 1: -2.0, 2: 0.5}. Under the spec, is this a valid representation?

    • No, dictionaries cannot represent vectors
    • Yes, but only if the keys are strings
    • No, keys must start at 1
    • Yes, provided all values are drawn from the same field

  20. Which pair of vectors is orthogonal?

    • [1, 1] and [1, 1]
    • [1, 2] and [2, 1]
    • [3, 0] and [1, 1]
    • [1, -2] and [2, 1]

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