Question

A force field is described by `<F_x,F_y,F_z> = < x , z, 2y -z >`. Is this force field conservative?

Answer 1

field is not conservative

Explanation:

`vec nabla times vec F =`

`det ((hat i, hat j, hat k),(del_x, del_y, del_z),(x,z,2y-z) )`

`= hat i (2-1) - hat j (0) + hat k (0) = ((1),(0),(0))ne vec 0`

So the field is not conservative