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3 marksSimplifying Vector Expressions

CSEC Mathematics · January 2014 · Paper 2 · Question 11(b)(ii)a)

OM and ON are position vectors with respect to the origin, O, such that OM = m and ON = n. L is a point on MN such that ML : LN = 2 : 1.

Write in terms of m and n an expression for MN.

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Other parts of this question

  1. 11(a)(i)Determine, T⁻¹, the inverse of T.[3 marks]
  2. 11(a)(ii)The matrix T maps the point (a, b) onto the point (4, 9). Determine the values of a and b.[4 marks]
  3. 11(b)(i)Draw a sketch of the triangle OMN and label the points O, M, N and L.[2 marks]
  4. 11(b)(ii)b)Write in terms of m and n an expression for ML.[3 marks]
  5. 11(b)(iii)Determine the position vector of L.[3 marks]

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