- #1
dan38
- 59
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S is a portion of a curve with r(u,v)
where 0 < u < 2 and 0 < v < 2pi
I'm meant to calculate Flux of the vector field F
My Calculations
First found dr/du
then dr/dv
Using the cross product, I found N = (- u cos (v) + 5 sin (v), -5 cos (v) - u sin(v), u)
Then I dot product with the given F (after putting it in terms of "u" and "v")
Then I do the relevant integration
I think my method is correct, however since my cross product yields an extremely long vector it makes all my following calculations really tedious.
So just want to check if there's a easy way to do this.
where 0 < u < 2 and 0 < v < 2pi
I'm meant to calculate Flux of the vector field F
My Calculations
First found dr/du
then dr/dv
Using the cross product, I found N = (- u cos (v) + 5 sin (v), -5 cos (v) - u sin(v), u)
Then I dot product with the given F (after putting it in terms of "u" and "v")
Then I do the relevant integration
I think my method is correct, however since my cross product yields an extremely long vector it makes all my following calculations really tedious.
So just want to check if there's a easy way to do this.
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