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