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2 marksVector Geometry Problems

CSEC Mathematics · January 2013 · Paper 2 · Question 11(a)(ii)

The diagram shows a parallelogram OKLM where O is the origin. The point S is on KM such that MS = 2 SK. OK = v and OM = u.

Express SL in terms of u and v.

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Other parts of this question

  1. 11(a)(i)Express MK in terms of u and v.[1 mark]
  2. 11(a)(iii)Express OS in terms of u and v.[2 marks]
  3. 11(b)Determine the coordinates of P.[3 marks]
  4. 11(c)(i)Write down a matrix, H, of size 2 x 2 which represents an enlargement of scale factor 3 about the origin.[1 mark]
  5. 11(c)(ii)Determine the coordinates of the point (5, -7) under the combined transformation, H followed by J.[2 marks]
  6. 11(d)(i)Write down a matrix of size 3 x 2 which represents the sales for the two weeks.[1 mark]
  7. 11(d)(ii)Write down a matrix of size 1 x 3 which represents the cost of the different models of cell phones.[1 mark]
  8. 11(d)(iii)Write down the multiplication of the two matrices which represents the superstore's takings from the sale of cell phones for each of the two weeks.[2 marks]

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