4MA1/2H Jan 2019, Question 23: Magnitude of a Vector
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 5 marks
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The question, in short
Trapezium ABCD has DC→ = 3AB→, DA→ = (−2, 3) and DB→ = (−1, 7). Find the exact magnitude of BC→.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 5 marks
- 1AB = AD + DB = (2, −3) + (−1, 7) = (1, 4)
- 2DC = 3AB = (3, 12)
- 3BC = BD + DC = (1, −7) + (3, 12) = (4, 5)
- 4|BC| = √(4² + 5²) = √41
Answer√41
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