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

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Answer 1 · 2016-08-30T01:03:11

field is not conservative

$vec nabla times vec F =$

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

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

So the field is not conservative

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