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0580/21 May/Jun 2023, Question 16: Magnitude of a Vector

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks

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The question, in short

Find the length of the vector (−4, 5), then use a triangle diagram where A is the midpoint of OB, with OA = x and OC = y, to express CB in terms of x and y.

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

Part (a) · 2 marks

Calculate the magnitude of the column vector (−4, 5).

  1. 1Magnitude = √((−4)² + 5²) = √(16 + 25) = √41
  2. 2= 6.403… ≈ 6.40

Answer6.40 or 6.403…

Part (b) · 1 mark

Using OA = x and OC = y with A the midpoint of OB, write the vector CB in terms of x and y.

  1. 1→OB = 2x (A is the midpoint of OB)
  2. 2→CB = →CO + →OB = −y + 2x
  3. 3= 2x − y

Answer2x − y

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Also searched as: 0580/21/M/J/23 · 0580_s23_qp_21 · 0580 s23 21 · question 16.
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