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2 marksPosition Vectors

CSEC Mathematics · May/June 2009 · Paper 2 · Question 13(a)(ii)

Points A and B have position vectors OA = (-2, 5) and OB = (4, 2) where O is the origin (0, 0). Point G lies on line AB such that AG = (1/3)AB.

Express in the form (x, y) the position vector OG.

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Other parts of this question

  1. 13(a)(i)Express in the form (x, y) the vectors AB and AG.[4 marks]
  2. 13(b)(i)a)Write in terms of a and b the vector AB.[6 marks]
  3. 13(b)(i)b)Write in terms of a and b the vector AC.[6 marks]
  4. 13(b)(i)c)Write in terms of a and b the vector DC.[6 marks]
  5. 13(b)(i)d)Write in terms of a and b the vector DX.[6 marks]
  6. 13(b)(ii)State TWO geometrical relationships between DX and DC.[2 marks]
  7. 13(b)(iii)State ONE geometrical relationship between the points D, C, and X.[1 mark]

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