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Cambridge IGCSE Mathematics practice

exam practice - Explain a translation using a vector shown as AB or a. Also, perform addition and subtraction of vectors, and multiply a vector by a scalar. - Vectors in two dimensions

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Attempt questionVectors in two dimensions revisionRevise the key idea

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Topic

Vectors in two dimensions

Exam-style question

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Paper 2Core or Extended Mathematics3 marks

Vector addition and scalar multiplication

Description

Vectors \( \mathbf{a} \) and \( \mathbf{b} \)

Given \( \mathbf{a} = (2, -1) \) and \( \mathbf{b} = (-3, 4) \).

  1. a

    Calculate the vector \( \mathbf{a} + 2\mathbf{b} \).

    Aim for approximately 3 distinct marking points.

    [3]

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Maths method check

  • Topic focus: Vectors in two dimensions.
  • Question style: structured_mathematics.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Vectors in two dimensions

Paper 2Core or Extended Mathematics2 marks

Diagram Description

Points and Vectors

Points P and Q have coordinates P(2, 3) and Q(5, 7). Vector \( \vec{PQ} \) represents the translation from P to Q.

Pointxy
P23
Q57
  1. a

    Calculate the vector \( \vec{PQ} \).

    Aim for approximately 2 distinct marking points.

    [2]