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4024/11 May/Jun 2022, Question 16: Adding and Subtracting Vectors

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Given column vectors p = (2, 3) and q = (−3, 2), draw and label specified vectors on unit grids.

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

Part (a) · 1 mark

On the 8 by 8 unit grid, draw and label vector p.

  1. 1Draw an arrow 2 units right and 3 units up, label p

Answercolumn vector (2, 3) drawn correctly with arrow

Part (b) · 1 mark

On the 8 by 8 unit grid, draw and label vector 2q.

  1. 12q = 2 × (−3, 2) = (−6, 4)
  2. 2Draw an arrow 6 units left and 4 units up, label 2q

Answercolumn vector (−6, 4) drawn correctly with arrow

Part (c) · 2 marks

On the 9 by 9 unit grid, draw and label vector p − q.

  1. 1p − q = (2 − (−3), 3 − 2) = (5, 1)
  2. 2Draw an arrow 5 units right and 1 unit up, label p − q

Answercolumn vector (5, 1) drawn correctly with arrow

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