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Learning objective

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.

Read the explanation, check the common trap, then practise with flashcards and questions.

Exam focus

  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsExtended Transformations and vectorsSupplement content

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Quick explanation

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

  • This point belongs to Vectors in two dimensions, especially Vectors in two dimensions outcomes.
  • You need to be able to 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.
  • The key ideas to know are Describe, Explain, and Calculate.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

DescribeExplainCalculateShow

Why it matters

This objective helps connect Vectors in two dimensions outcomes to exam-style questions, flashcards, and revision notes for Vectors in two dimensions.

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Practice Questions7 linked questions

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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]
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