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0580 P21 - Jun 2022 - Q26 - 4 marks
12426
Triangle OAB with K on AB and parallelogram OALK

The position vectors of \(A,B\) are \(\mathbf a,\mathbf b\). \(AK:KB=1:2\) and \(OALK\) is a parallelogram. Find \(L\)’s position vector in simplest form. [4]

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