\(TP\) and \(TQ\) are two tangents from the point \(T\) to the circle having its centre at \(O\). \(AB\) is another tangent touching the circle externally at \(E\) intersecting \(TP\) at \(A\) and \(TO\) at \(Q\). If the radius of the circle is 3 \(cm\) and the length of \(OT\) passing through \(E\) is 5 \(cm\), find the length of \(AB\).