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Exam-Style Question on VectorsA mathematics exam-style question with a worked solution that can be revealed gradually |
Question id: 44. This question is similar to one that appeared on a IGCSE Extended paper in 2005. The use of a calculator is allowed.
ABCDOE is a regular hexagon with O as origin. The position vector of A is \(a\) and the position vector of B is \(b\).
Find the following in terms of \(a\) and \(b\).
(a) \(\overrightarrow{BA}\)
(b) \(\overrightarrow{OE}\)
(c) the position vector of C.
If the sides of the hexagon are each of length 10cm calculate:
(d) the size of angle \(BCD\).
(e) the area of triangle \(BCD\).
(f) the length of the line from B to D.
(g) the area of the hexagon.
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