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0580/22 May/Jun 2022, Question 10: Magnitude of a Vector

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks

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The question, in short

Given column vectors p = (2, 8) and q = (−1, 4), find p − q, 6p, and the magnitude of p − q.

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Part (ai) · 1 mark

Find the column vector p − q.

  1. 1p − q = (2 − (−1), 8 − 4)
  2. 2= column vector (3, 4)

Answercolumn vector (3, 4)

Part (aii) · 1 mark

Find the column vector 6p.

  1. 16p = (6 × 2, 6 × 8)
  2. 2= column vector (12, 48)

Answercolumn vector (12, 48)

Part (b) · 2 marks

Find the magnitude |p − q|.

  1. 1|p − q| = √(3² + 4²)
  2. 2= √(9 + 16) = √25
  3. 3= 5

Answer5

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Also searched as: 0580/22/M/J/22 · 0580_s22_qp_22 · 0580 s22 22 · question 10.
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