Which, if either, of the two force fields F1 = -yi + x j + z k, F2 = y i + x j +

Question

Which, if either, of the two force fields F1 = -yi + x j + z k, F2 = y i + x j + z k isconservative? Calculate for each field the work done in moving aparticle around the circle x = cos t, y = sin t inthe   (x , y) plane.

I did the dot product dW = F (dot)dr.                             dr = i dx + j dy + k dz.
So F1(dot)dr = -y dx + x dy + z dz

Then I took x =cos t, dx = -sin t dt, y = sin t, dy = cos tdt and pluged in to W=F1 (dot) dr equation above to get dW=sin2 t dt + cos2 t dt = dt

So i guess now i do line integral: W = dt but fromwhat endpoints? from 0, ? and what do i do next?

Am i in the right direction? I need help in finishing this problemso i can understand it.
Thank You

Explanation / Answer

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