The ratio in which the plane $\overline{\mathrm{r}}\cdot (\overline{\mathrm{i}}-2\overline{\mathrm{j}}+3\overline{\mathrm{k}})=17$ divides the line joining the points $-2\hat{\mathrm{i}}+4\hat{\mathrm{j}}+7\hat{\mathrm{k}}$ and $3\hat{\mathrm{i}}-5\hat{\mathrm{j}}+8\hat{\mathrm{k}}$