The vector equation of the line passing through the point (-1, 5, 4) and perpendicular to the plane z=0 is :

$\vec{r}= -\hat{i}+5\hat{j} + 4\hat{k} + \lambda (\hat{i}+\hat{j})$ $\vec{r}= -\hat{i}+5\hat{j} + (-4 + \lambda) \hat{k}$ $\vec{r}=-\hat{i}+5\hat{j}+ 4\hat{k} + \lambda \hat{k}$ $\vec{r}= \lambda \hat{k}$

$\vec{r}=-\hat{i}+5\hat{j}+ 4\hat{k} + \lambda \hat{k}$