Oriented surface element
= Oriented surface element
{title2=$d\mathbf S$}
For an oriented parametrized surface $r(u,v)$, the vector surface element is $d\mathbf S=(r_u\times r_v)\,du\,dv$, with the sign chosen to match the orientation.
= Oriented surface element
{title2=$d\mathbf S$}
For an oriented parametrized surface $r(u,v)$, the vector surface element is $d\mathbf S=(r_u\times r_v)\,du\,dv$, with the sign chosen to match the orientation.