題組內容
3. A two-dimension vector field \( \vec{v} = \frac{x^2 - y^2}{(x^2 + y^2)^2} \vec{i} + \frac{2xy}{(x^2 + y^2)^2} \vec{j} \) ,
(b) Calculate the same circulation as in (a) by use of Stokes’s theorem. (10%)
3. A two-dimension vector field \( \vec{v} = \frac{x^2 - y^2}{(x^2 + y^2)^2} \vec{i} + \frac{2xy}{(x^2 + y^2)^2} \vec{j} \) ,
(b) Calculate the same circulation as in (a) by use of Stokes’s theorem. (10%)