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4024/21 Oct/Nov 2025, Question 11: Vectors and midpoints

Cambridge O Level Mathematics 4024 · Paper 21 (Calculator) · Calculator · 5 marks

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The question, in short

A is (−4, 3) and B is (2, −7). Find the vector AB and the midpoint of AB. Then find the magnitude of the vector CD = (−5, 11).

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (ai) · 1 mark

  1. 1→AB = (2 − (−4), −7 − 3) = column vector (6, −10)

Answercolumn vector (6, −10)

Part (aii) · 2 marks

  1. 1Midpoint = ((−4 + 2)/2, (3 + (−7))/2)
  2. 2= (−1, −2)

Answer(−1, −2)

Part (b) · 2 marks

Find |CD| where CD = (−5, 11).

  1. 1|→CD| = √((−5)² + 11²) = √(25 + 121) = √146
  2. 2= 12.08… ≈ 12.1

Answer12.1 or 12.08…

Stuck on a step? Read the free lesson: Length of a Line Segment

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Also searched as: 4024/21/O/N/25 · 4024_w25_qp_21 · 4024 w25 21 · question 11.
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