The cubic equation \(x^{3}-x^{2}-3 x-10=0\) has roots \(\alpha, \beta, \gamma\).
(i) Let \(u=-\alpha+\beta+\gamma\). Show that \(u+2 \alpha=1\), and hence find a cubic equation having roots \(-\alpha+\beta+\gamma\), \(\alpha-\beta+\gamma, \alpha+\beta-\gamma\).
(ii) State the value of \(\alpha \beta \gamma\) and hence find a cubic equation having roots \(\frac{1}{\beta \gamma}, \frac{1}{\gamma \alpha}, \frac{1}{\alpha \beta}\).