At what point do the curves and intersect

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

At what point do the curves

\mathbf{r}_1(t) = \langle t, 1 - t, 3 + t^2 \rangle

and

\mathbf{r}_2(s) = \langle 3 - s, s - 2, s^2 \rangle

intersect? Find their angle of intersection correct to the nearest degree.