0580/23 May/Jun 2026, Question 28: Vector Geometry
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Using vectors r and s from origin O to points R and S, with P dividing RS in ratio RP:PS = 2:5, find P's position vector in terms of r and s, simplified.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1→RS = s − r
- 2→RP = 2/7(s − r)
- 3→OP = r + 2/7(s − r)
- 4= 5/7 r + 2/7 s
Answer5/7 r + 2/7 s
Stuck on a step? Read the free lesson: Vector Geometry
Practise more vector geometry questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on vector geometry
Also searched as: 0580/23/M/J/26 · 0580_s26_qp_23 · 0580 s26 23 · question 28.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.