I'm going to prove that the flux of a vector field that has only a z component is actually equal to the triple integral of, RzdV well, the divergence of this is just R sub z dV.

我将要证明，一个只有z分量的向量场的通量,等于一个三重积分，其中被积表达式为。

youdao

And we looked at the component of a vector field in the direction that was normal to the curve.

我们研究的是，向量场在曲线法向量方向的情况。

youdao

That is how we reformulated it. That means we take our curve and we figure out at each point how big the tangent component I guess I should probably take the same vector field as before.

这是另一种形式，它意味着,要求出每点处向量在切向量方向的分量,我还是用之前那个向量场吧。

youdao