Is There a Mistake in Determining Conservative Fields?

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Homework Statement



Printed exam question 10 on conservative forces: asks which of two vector fields, F = [i - j - 2r(x - y)] e^(-r^2) and F = z k + (1/r^2) r x k, are conservative, and to find the potential and line integral from A = (x0, y0, z0) to B = (x1, y1, z1).


Homework Equations





The Attempt at a Solution



I used ∇ X F for part (a) and part (b) and found both to be ≠ 0. Thus both cases F is not conservative.

I have no clue about the second part, as both arent conservative...
 
Well either there is nothing to be done for the second part or you made a mistake in the first part.