Intersecting lines in vector form

The lines given by $\tvec{r}_1(\lambda) = 2\tvec{i} + r\tvec{j} - 3\tvec{k} + \lambda\left(\tvec{i} - \tvec{j} + 4\tvec{k}\right)$ and $\tvec{r}_2(\mu) = \tvec{i} + s\tvec{k} + \mu\left(\tvec{i} + \tvec{j} - \tvec{k}\right)$ intersect at the point $(4, 3, t)$, where $\lambda, \mu \in R$ and $r$, $s$ and $t$ are real constants.

The values of $r$, $s$ and $t$ respectively are