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6 marksSimplifying Vector Expressions

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

In a diagram, not drawn to scale, B is the midpoint of OX, C is the midpoint of AB, and D is such that OD = 2DA. Vectors a and b are such that OA = 3a and OB = b.

Write in terms of a and b the vector AB.

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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(a)(ii)Express in the form (x, y) the position vector OG.[2 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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