----- > [!proposition] Proposition. ([[derivative of the cross product]]) > If $u$ and $v$ are vectors depending smoothly on the variable $t$, then we have $D\big( u(t) \times v(t) \big)=Du(t) \times v(t) + u(t) \times Dv(t).$ ^2ab81b > [!proof]- Proof. ([[derivative of the cross product]]) > Just computation. ----- #### ---- #### References > [!backlink] > ```dataview TABLE rows.file.link as "Further Reading" FROM [[]] FLATTEN file.tags GROUP BY file.tags as Tag > [!frontlink] > ```dataview TABLE rows.file.link as "Further Reading" FROM outgoing([[]]) FLATTEN file.tags GROUP BY file.tags as Tag