Foundation June 2017 Paper 1 Q27

EdexcelCurrent spec3 marksVectors

27

Parallelogram ABCD with diagonals AC and BD meeting at O; vector a from O to A and vector b from O to B

\(ABCD\) is a parallelogram.
The diagonals of the parallelogram intersect at \(O\).

\(\overrightarrow{OA} = \mathbf{a}\) and \(\overrightarrow{OB} = \mathbf{b}\)

(a) Find, in terms of \(\mathbf{b}\), the vector \(\overrightarrow{DB}\). (1)
(b) Find, in terms of \(\mathbf{a}\) and \(\mathbf{b}\), the vector \(\overrightarrow{AB}\). (1)
(c) Find, in terms of \(\mathbf{a}\) and \(\mathbf{b}\), the vector \(\overrightarrow{AD}\). (1)
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