1. Evaluate the line integral∫F . dr with F = 3(-y,x,0) from (a,0,0) to (a,0,2πb) along a straight line.
2. Do the same along a circular helix between the two points, parameterised as r = (a cosλ, a sinλ, bλ)
3. Compute the curl of F. How does this relate to the two integral calculations...