0580/23 May/Jun 2023, Question 12: Magnitude of a Vector
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks
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The question, in short
Given position vector of A as (5, 3) and vector BA as (4, 8), find OB and show its length is 5.1 to 1 decimal place.
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Solution · 3 marks
- 1→OB = →OA + →AB = →OA − →BA
- 2= (5, 3) − (4, 8) = (1, −5)
- 3|→OB| = √(1² + (−5)²) = √26
- 4= 5.099… = 5.1 (1 d.p.)
AnswerCorrect working leading to 5.099…
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