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4024/22 May/Jun 2026, Question 7: Column vectors

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 4 marks

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The question, in short

Work with the column vectors c = (1, 5) and d = (−2, 3), and with a point P(1, 5) and the vector PQ = (−4, 10).

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Part (a) · 2 marks

Find c − 2d as a column vector.

  1. 12d = column vector (−4, 6)
  2. 2c − 2d = (1 − (−4), 5 − 6)
  3. 3= column vector (5, −1)

Answercolumn vector (5, −1)

Part (b) · 2 marks

Find the coordinates of Q.

  1. 1Q = P + →PQ
  2. 2x: 1 + (−4) = −3
  3. 3y: 5 + 10 = 15
  4. 4Q = (−3, 15)

Answer(−3, 15)

Stuck on a step? Read the free lesson: Adding and Subtracting Vectors

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Also searched as: 4024/22/M/J/26 · 4024_s26_qp_22 · 4024 s26 22 · question 7.
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