A triangle \(O A B\) is such that \(\overrightarrow{O A}=\mathbf{a}\) and \(\overrightarrow{O B}=\mathbf{b}\). The point \(X\) lies on \(O A\) such that \(\overrightarrow{O A}=3 \overrightarrow{O X}\). The point \(Y\) lies on \(X B\) such that \(\overrightarrow{X B}=5 \overrightarrow{X Y}\). The point \(Z\) lies on \(O B\) such that \(\overrightarrow{O B}=m \overrightarrow{O Z}\), where \(m\) is a scalar. \(\overrightarrow{O X}=n \overrightarrow{Z Y}\), where \(n\) is a scalar. Use a vector method to find the values of \(m\) and \(n\).

2026 - M/J - 0606/11 | Q11

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A triangle \(O A B\) is such that \(\overrightarrow{O A}=...