4MA1/2HR Jan 2020, Question 26: Vector Geometry
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 5 marks
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The question, in short
Trapezium OACB has OA = 3a, OB = 6b, AC = 4b. N lies on OC with ANB straight. Find ON in terms of a and b.
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Solution · 5 marks
- 1OC = 3a + 4b, so ON = t(3a + 4b)
- 2AB = −3a + 6b, so ON = 3a + s(−3a + 6b)
- 3Match a: 3t = 3 − 3s; match b: 4t = 6s
- 4Solve: s = 0.4, t = 0.6
- 5ON = 0.6(3a + 4b) = 1.8a + 2.4b
Answer1.8a + 2.4b
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