- #1
jerzey101
- 15
- 0
Homework Statement
Compute the flux of the vector field F(x,y,z)=(z,y,x) across the unit sphere x2+y2+z2=1
Homework Equations
I believe the forumla is ∫∫D F(I(u,v))*n dudv
I do not know how to do the parameterization of the sphere and then I keep getting messed up with the normal vector.*
So you convert the sphere equation into spherical coordinates? I am so lost please help. Thank you!
The Attempt at a Solution
is I=(sin∅cosθ,sin∅sinθ,cos∅)?
Then to find n you compute the cross product of T∅ X Tθ?
Then multiple F(I(u,v))*n?
Then integrate?
Last edited: