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OABC is a quadrilateral. Relative to point O, points A, B and C have position vectors
a b c , ,
respectively.
(a) Show that the midpoint of AB has position vector
( )
1
2
a b+
[2]
(b) Prove that the midpoints of sides OA, AB, BC and CO form the corners of a
parallelogram.

OABC is a quadrilateral Relative to point O points A B and C have position vectors a b c respectively a Show that the midpoint of AB has position vector 1 2 a b class=


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