Section 13.2: Derivatives and Integrals of Vector Functions

Show that if \(\mathbf{r}\) is a vector function such that \(\mathbf{r}''\) exists, then \(\frac{d}{dt}[\mathbf{r}(t) \times \mathbf{r}'(t)] = \mathbf{r}(t) \times \mathbf{r}''(t)\)