Is it possible to find a vector field whose curl is yi? xi?
The Attempt at a Solution
I found that if F = <0,0,y^2/2>, its curl will be yi. However, I cannot figure out a vector field whose curl will be xi. I tried using exponentials and just different combination of x's, y's and z's as components of F, and just building my function as I go through the 'curl determinant', but haven't been able to find anything. If someone could please help me out that would be greatly appreciated. Thank you