- #1
cjc0117
- 94
- 1
The integral for calculating the flux of a vector field through a surface S with parametrization r(u,v) can be written as:
[itex]\int\int_{D}F\bullet(r_{u}\times r_{v})dA[/itex]
But what's to stop one from multiplying the normal vector [itex]r_{u}\times r_{v}[/itex] by a scalar, which would result in a different flux? When you're asked to find the flux of a vector field through a surface, how do you know which scalar to use?
[itex]\int\int_{D}F\bullet(r_{u}\times r_{v})dA[/itex]
But what's to stop one from multiplying the normal vector [itex]r_{u}\times r_{v}[/itex] by a scalar, which would result in a different flux? When you're asked to find the flux of a vector field through a surface, how do you know which scalar to use?