Does this curl operator equal 1?

[leroile]

Hello,
I am a beginner in electromagnetism.
I am trying to find a vector field whose rotation equals 1 with a curl operator. If I say that the vector field is defined by V(y;2x;0) does it work? As a result, I find (0;0;1), am I right?

 

[Matterwave]

The curl operator returns a vector, not a scalar, so it doesn't make sense to say that it "equals 1" since 1 is just a number. You can make it equal to anyone of the following though: $\hat{i},\hat{j},\hat{k}$. In the case of your vector, the curl returns $\hat{k}$.