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2 marksVector Geometry Problems

CSEC Mathematics · January 2006 · Paper 2 · Question 13(c)(i)

Using the answers in (a) (ii), state TWO geometrical relationships between the line segments AB and DC.

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  1. 13(a)(i)Express in the form (x, y) the position vectors OA, OB, OC, and OD where O is the origin (0, 0).[2 marks]
  2. 13(a)(ii)Express in the form (x, y) the vectors AB and DC.[2 marks]
  3. 13(b)Calculate |AB| and hence determine the unit vector in the direction of AB.[2 marks]
  4. 13(c)(ii)Explain why ABCD is a parallelogram.[2 marks]
  5. 13(d)Using a vector method, determine the position vector of G, the midpoint of the line AC. Hence, state the coordinates of the point of intersection of the…[5 marks]

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