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4PM1/02 Jun 2019, Question 1: Position Vectors

Pearson Edexcel International GCSE Further Pure Mathematics 4PM1 · Paper 2 · Calculator · 4 marks

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The question, in short

Given position vectors of A and B relative to origin O, find the vector AB and a unit vector parallel to it.

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

Part (a) · 2 marks

Find the vector AB from A to B as a simplified expression in i and j.

  1. 1AB = OB − OA
  2. 2= (i + 7j) − (4i + 3j) = −3i + 4j

AnswerAB = −3i + 4j

Part (b) · 2 marks

Find a unit vector parallel to the vector AB.

  1. 1|AB| = √((−3)² + 4²) = 5
  2. 2Unit vector = (1/5)(−3i + 4j) (or its negative)

Answer(1/5)(−3i + 4j) or −(1/5)(−3i + 4j)

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