Show that if is a vector function such that exists

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

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

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