0580/22 May/Jun 2022, Question 22: Vector Geometry
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 2 marks
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The question, in short
Vectors x and y run from O to A and O to B; D lies on AB with vector OD given as a combination of x and y. Find the ratio in which D divides AB.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 2 marks
- 1AD = OD − OA = 3/7 x + 4/7 y − x = −4/7 x + 4/7 y = 4/7(y − x)
- 2DB = OB − OD = y − 3/7 x − 4/7 y = −3/7 x + 3/7 y = 3/7(y − x)
- 3AD : DB = 4/7 : 3/7
- 4= 4 : 3
Answer4 : 3
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Also searched as: 0580/22/M/J/22 · 0580_s22_qp_22 · 0580 s22 22 · question 22.
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