- #1
logarithmic
- 107
- 0
How would I calcluate a surface integral in dimensions greater than 3.
For example, from the definition of a surfrace integral over a vector field: http://en.wikipedia.org/wiki/Surface_integral#Surface_integrals_of_vector_fields
To compute the surface integral, I would first need a vector normal to the vector field. In R^3 this is just done by using the cross product. Is there a general way to find a normal vector when not in R^3, since the cross product is no longer valid?
For example, from the definition of a surfrace integral over a vector field: http://en.wikipedia.org/wiki/Surface_integral#Surface_integrals_of_vector_fields
To compute the surface integral, I would first need a vector normal to the vector field. In R^3 this is just done by using the cross product. Is there a general way to find a normal vector when not in R^3, since the cross product is no longer valid?