Lesson 10.3.1

10.3.1 Adding vectors Quiz: Pearson Edexcel Maths, Unit 10

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 10.3.1, Adding vectors: 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 geometric rule is used to find the resultant of two added vectors?

    • Cross product
    • Scalar rule
    • Triangle law
    • Polygon method

  2. If vector a is [3, 4] and b is [1, 2], what is a + b?

    • [3, 8]
    • (4, 6)
    • [4, 6]
    • [2, 2]

  3. What is the term for the sum of two or more vectors?

    • Product
    • Scalar
    • Magnitude
    • Resultant

  4. Which algebraic property does vector addition satisfy?

    • Scalar
    • Distributive
    • Orthogonal
    • Commutative

  5. If you travel along vector p then vector q, what is the direct displacement?

    • pq
    • p + q
    • p / q
    • p - q

  6. Which algebraic property also applies to the grouping of three added vectors?

    • Modulus
    • Scalar
    • Associative
    • Commutative

  7. What is the sum of any vector a and its negative vector (-a)?

    • Vector a
    • Scalar zero
    • Magnitude one
    • Zero vector

  8. What notation represents a zero vector in printed text?

    • Italic z
    • Scalar 0
    • Number 0
    • Bold 0

  9. Add vector [2, -3, 4] and [1, 5, -2]. What is the result?

    • [3, 2, 2]
    • [2, -15, -8]
    • [-1, 8, -6]
    • [3, -8, 6]

  10. What is the resultant of adding vector i + 2j and 3i - j?

    • 2i + 3j
    • 4i + 3j
    • 4i - j
    • 4i + j

  11. If AB = [2, 3] and BC = [4, 1], what is vector AC?

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

  12. In a parallelogram OACB, what vector sum represents diagonal OC?

    • OA + OB
    • OA × OB
    • OA - OB
    • OB - OA

  13. If vector x = 5i - 2j and y = -2i + 4j, find x + y.

    • 3i + 2j
    • 3i - 6j
    • 7i - 6j
    • -10i - 8j

  14. What geometric shape is formed when using the polygon method to add vectors?

    • Parallel line
    • Closed triangle
    • Square
    • Open polygon

  15. If position vector OA is [1, 2] and OB is [4, 6], what is vector AB?

    • [3, 4]
    • [-3, -4]
    • [4, 3]
    • [5, 8]

  16. What is the additive identity in the set of vectors?

    • Zero vector
    • Unit vector
    • Identity matrix
    • Scalar one

  17. If p = [a, b] and q = [c, d], what is the first component of p + q?

    • a + b
    • a + c
    • ac
    • a - c

  18. Does the magnitude of a + b always equal the magnitude of a plus magnitude of b?

    • Yes
    • Only if parallel
    • Only if orthogonal
    • No

  19. If a = 3i - j + 2k and b = i + 2j - 3k, find a + b.

    • 3i - 2j - 6k
    • 2i - 3j + 5k
    • 4i - 3j + 5k
    • 4i + j - k

  20. What is the term for a vector with a magnitude of zero?

    • Unit vector
    • Empty vector
    • Zero vector
    • Null scalar

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