The diagram shows a tetrahedron OABC. a, b and c are the position vectors of A, B
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The diagram shows a tetrahedron OABC. a, b and c are the position vectors of A, B and C respectively. P, Q, R, S, T and U are the midpoints of OC, AB, OA, BC, OB and AC respectively. Prove that the line segments PQ, RS and TU meet at a point and bisect each other.
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PQ a bc RS a b c T a b c Let PQ RS and TU intersect at X PX rPQ a b c 2 RX SRS S TX tTU ...View the full answer
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Related Book For 
Pearson Edexcel A Level Mathematics Pure Mathematics Year 2
ISBN: 9781292183404
1st Edition
Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran
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