I. 12.10 Vector Field Circulation

\ (\ underline {\ mathrm {y} _ {\ text {Sliding:}} \) Let \ (\ Sigma \) - part of the plane \ (p \), limited by coordinate planes. Calculate the field circulation \ (\ vec {f} \) through the contour that limits the surface \ (\ sigma \) directly and according to the Stox formula. \ [\ vec {f} = (2 x+5 y+2 z) \ cdot \ vec {k}, p: x+y+3 z-6 = 0 \ text {. } \]