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4024/11 Oct/Nov 2021, Question 15: Position Vectors

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Point A has position vector (3, −7) and vector AB is (−5, 12). Find the coordinates of B and the magnitude of vector AB.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 2 marks

Find the coordinates of point B given A's position vector (3, −7) and vector AB (−5, 12).

  1. 1→OB = →OA + →AB = (3 + (−5), −7 + 12)
  2. 2B = (−2, 5)

Answer(−2, 5)

Part (b) · 2 marks

Find the magnitude |AB| of the vector (−5, 12).

  1. 1|→AB| = √((−5)² + 12²) = √169
  2. 2= 13

Answer13

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Also searched as: 4024/11/O/N/21 · 4024_w21_qp_11 · 4024 w21 11 · question 15.
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