Section 13.2: Derivatives and Integrals of Vector Functions

The curves \(\mathbf{r}_1(t) = \langle t, t^2, t^3 \rangle\) and \(\mathbf{r}_2(t) = \langle \sin t, \sin 2t, t \rangle\) intersect at the origin. Find their angle of intersection correct to the nearest degree.