Question```latex Determine whether the lines $\vec{r}(\lambda)$ and $\vec{s}(\mu)$ intersect, and, if they do intersect, find the point of intersection. ```

Studdy Solution
Determine the point of intersection, if it exists:
If the values of $\lambda$ and $\mu$ satisfy all equations, substitute $\lambda$ into $\vec{r}(\lambda)$ or $\mu$ into $\vec{s}(\mu)$ to find the intersection point $\vec{P}$.
If the lines intersect, the point of intersection is:
$$\vec{P} = \vec{r}(\lambda) = \vec{s}(\mu)$$
If no consistent solution exists, the lines do not intersect.