the curl of a vector field in space is actually a vector field, not a scalar function. i have delayed the inevitable.
空间中的向量场的旋度,是一个向量场,而不是一个标量函数,我必须告诉你们。
now, an important difference between curl here and curl in the plane is that now the curl of a vector field is again a vector field.
和平面上的旋度的一个重要的不同点是,这里向量场的旋度,仍然是一个向量场。
and so now, remember, curl of a vector field in space is going to be another vector expression. it has three components.
记住,空间中向量场的旋度,是另一个向量,它有三个分量。