5. Find the symmetric equations for the line passing through the point P(1, 2, 3) and
perpendicular to the plane $-5x - 6y + 4z - 1 = 0$.
6. Find the distance the point P(1, 2, 3), is to the plane through the three points
Q(-4, -5, 3), R(0, -2, 0), and S(-6, -7, 8).
7. Consider the velocity vector $\vec{v}(t) = e^t\vec{i} - \sin(t)\vec{j} + \cos(t)\vec{k}$, with initial position $\vec{r}(0) = \vec{i} + \vec{j} + \vec{k}$. Compute $\vec{r}(t)$, the position vector.
