4.02: Vector ratios

\(\overrightarrow{OA}=\mathbf a\) and \(\overrightarrow{OB}=\mathbf b\). \(X\) lies on \(OA\) with \(OA=3OX\); \(Y\) lies on \(XB\) with \(XB=5XY\); \(Z\) lies on \(OB\) with \(OB=mOZ\). It is given that \(\overrightarrow{OX}=n\overrightarrow{ZY}\).