I.2.5 Vector Field Circulation

Calculate the circulation of the vector field \ (\ bar {a} \) through the closed circuit \ (l \) directly and according to the stock formula: \ [\ vec {a} = x y \ vec {\ iMath}+y z {\ jmath}+z x \ vec {k}, \ quad l: \ left \ {\ begin {array} {l} x+y+z = 1 \\ x = 0, y = 0, z = 0 \ end {array}. \ Right. \]