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2 marksConcepts of Vectors

CSEC Mathematics · May/June 2018 · Paper 2 · Question 10(b)(i)

The diagram below, not drawn to scale, shows a quadrilateral ABCD in which vector AB = m, vector DC = 3m and vector AD = n.

Complete the statement below on the geometric properties of the following vectors. Vector AB and vector DC are _______________ and |vector AB| is _______________ times |vector CD|.

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Other parts of this question

  1. 10(a)(i)Find the value of a and of b.[2 marks]
  2. 10(a)(ii)Determine the transformation matrix that maps A' to A.[2 marks]
  3. 10(a)(iii)a)Find the single 2 × 2 matrix that represents the combined transformation of T followed by P.[2 marks]
  4. 10(a)(iii)b)Hence, find the image of the point (1, 4) under this combined transformation.[1 mark]
  5. 10(b)(ii)Express vector BC in terms of m and n.[1 mark]
  6. 10(b)(iii)L is the midpoint of CD. Find vector BL in terms of m and n.[2 marks]

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