- #1
Pythagorean
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Homework Statement
Prove:
[tex]\int \hat{t} ds = 0[/tex]
over C, a closed curve; t is the unit vector tangent to C.
Homework Equations
stoke's theorem
The Attempt at a Solution
My issue is that normally, stoke's theorem involves a vector function that we dot into the unit vector (t) (resulting in a scalar) and when we use stoke's theorem, we instead curl that vector function, then dot it into n, the surface normal vector.
However, in this situation, there's no dot product, so we're integrating a vector.
My first attempt was to use the diad product, but I feel like I'm being a bit cavalier with it. I'd just like a hint, but not a full solution so that I can think about it more.