0580/23 Oct/Nov 2021, Question 26: Position Vectors
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks
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The question, in short
Triangle ORT has O at the origin, OR = r, OT = t, and X on TR with TX : XR = 3 : 2. Find the position vector of X in terms of r and t, simplified.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1→TR = r − t
- 2→TX = 3/5(r − t)
- 3→OX = t + 3/5(r − t)
- 4= 3/5 r + 2/5 t
Answer3/5 r + 2/5 t or 1/5 (3r + 2t)
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Also searched as: 0580/23/O/N/21 · 0580_w21_qp_23 · 0580 w21 23 · question 26.
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