... the curl of A and it is also a vector:i, i, i,curl A= Vx A= detax ay az A. A, A, a. _A, A * (a aAM\ay az ) az axtA• aAz•x+aA, aA) (6) The cyclical permutation of (x, ... Curl and Stokes' Theorem - - - - - - - - - - - = *- -_ _ *-_ - - - - - - - No circulation Nonzero circulationFigure 1-2 0 A fluid with a velocity field that has a curl ... A, (z)dr+ zA+ -Ar -, r)dz+j Az(r-Ar) dzr-Ar A, (r)dz + j Ar(z - Az)dr [A, (z) -A, (z -Az)] [A( r) -A( r- Ar)] ArAz Ar(11)I28 Review of Vector AnalysisFigure 1-1 8 The divergence...