[微積] "Circulation"
有一個關於Circulation的問題(PS.請問這就是環場積嗎?)
Let C be the ellipse in which the plane
2x^2 + 3y - z = 0
(PS.我一時想不出這是什麼形狀，同時有點懷疑x項需要平方嗎?)
meets the cylinder x^2 + y^2 = 12 .
Show , "Without evaluating either line integral directly, that the circulation
of the field F = (x,y,z) around C in either direction is zero.
基本上我遇到的問題如下:
1.我想不出交集後的形狀(他說是ellipse)
2.該怎麼列式，又該怎麼不經線積分就知道答案是零???
謝謝版友們的幫助
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