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.
The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.
Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.
This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.
A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.
Drag this panel down to reveal the solution
If you need more practice try the self-checking interactive exercises called Vectors.
©1997 - 2019 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/