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4024/12 May/Jun 2020, Question 19: Multiplying a Vector by a Scalar

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 2 marks

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The question, in short

Using the grid showing vectors p = (2, 1) and q = (1, −3), draw two new vectors.

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Part (a) · 1 mark

Draw the vector 3p on the grid.

  1. 13p = 3 × (2, 1) = column vector (6, 3)
  2. 2Draw an arrow 6 squares right and 3 squares up

AnswerVector 3p drawn

Part (b) · 1 mark

Draw the vector q − p on the grid.

  1. 1q − p = (1 − 2, −3 − 1) = column vector (−1, −4)
  2. 2Draw an arrow 1 square left and 4 squares down

AnswerVector q − p drawn

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Also searched as: 4024/12/M/J/20 · 4024_s20_qp_12 · 4024 s20 12 · question 19.
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