(Solved): Find the vector parametrization \( \mathbf{r}(t) \) of the line \( \mathcal{L} \) that passes throu ...

Find the vector parametrization \( \mathbf{r}(t) \) of the line \( \mathcal{L} \) that passes through the points \( (5,1,2) \) and \( (10,3,5) \). (Give your answer in the form \( (*, *, *) \). Express numbers in exact form. Use symbolic notation and fractions where needed.)