Exam-Style Question on Vectors
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 45. This question is similar to one that appeared on a IGCSE Extended paper in 2008. The use of a calculator is allowed.
OABC is a parallelogram with O as origin. The position vector of A is \(a\) and the position vector of C is \(c\).
F is the mid-point of AB and the point E divides the line OC such that OE:EC = 2:1.
The point E also divides the line AD such that AE:ED = 3:2.
Find the following in terms of \(a\) and \(c\).
(d) the position vector of F.
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