0580/23 May/Jun 2024, Question 26: Position Vectors
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Using vectors p and q from origin O, with R on PQ in ratio 1:2 and OR equal to RS, determine the position vector of S in simplified form.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1→PQ = −p + q
- 2→PR = 1/3(−p + q)
- 3→OR = p + 1/3(−p + q) = 2/3 p + 1/3 q
- 4→OS = 2 →OR = 4/3 p + 2/3 q
Answer4/3 p + 2/3 q
Stuck on a step? Read the free lesson: Position Vectors
Practise more position vectors 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 position vectors
Also searched as: 0580/23/M/J/24 · 0580_s24_qp_23 · 0580 s24 23 · question 26.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.