I. 12.15 Vector Field Circulation

Condition: Find the field circulation \ (\ vec {a} = (x+3 z) \ vec {\ iMath}+\) \ (2-Y) \ Vec {\ Jmath}+(2 Y+Z) \ Vecad \) directly and \ quad \) the circuit \ (\ gamma: \ left \ {\ begin {array} {c} x^{2}+y^{2} = 4 \\ 2 X-3 Y-2 Z = 1 \ End {Array} \ Right. \).