0580/21 May/Jun 2021, Question 18: Expressing Vectors in Terms of a and b
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 2 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
In triangle OPQ with vectors OP = a and OQ = b, S lies on PQ with PS : SQ = 4 : 5. Find vector OS in terms of a and b, simplified.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 2 marks
- 1→PQ = b − a
- 2→PS = 4/9(b − a)
- 3→OS = a + 4/9(b − a)
- 4= 5/9 a + 4/9 b
Answer5/9 a + 4/9 b
Stuck on a step? Read the free lesson: Expressing Vectors in Terms of a and b
Practise more expressing vectors in terms of a and b 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 expressing vectors in terms of a and b
Also searched as: 0580/21/M/J/21 · 0580_s21_qp_21 · 0580 s21 21 · question 18.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.