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5 marksPosition Vectors

CSEC Mathematics · January 2016 · Paper 2 · Question 11(a)(i)

Points A, B and C have coordinates A(-2,8), B(4,2) and C(0,9). M is the midpoint of the line segment AB.

Express EACH of the following in the form (x y): OB, AB, OM

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Other parts of this question

  1. 11(a)(ii)Using a vector method, show that AC and OB are parallel.[2 marks]
  2. 11(b)Determine the value of p for which the matrix M is singular.[2 marks]
  3. 11(c)(i)Calculate 2A + B.[2 marks]
  4. 11(c)(ii)Determine B⁻¹, the inverse of B.[2 marks]
  5. 11(c)(iii)Given that (5 -1; 0 3)(x y) = (6 9), calculate the values of x and y.[2 marks]

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