Problem $04\mathrm{.}083-$ Vorticity for a fluid particle

A steady, three$-$dimensional velocity field is given by

vec$(V)=(u,v,w)=(2\mathrm{.}49+1\mathrm{.}36x-0\mathrm{.}867y)vec(i)+(1\mathrm{.}650x-1\mathrm{.}36y)vec(j)+(-0\mathrm{.}458xy)$

$.$ Calculate the vorticity vector as a function of space variables $(x,y,z).($Round the final answer to three decimal places.$)$

The vorticity vector is $(-0\mathrm{.}458x)vec(i)+(0\mathrm{.}458y)vec(j)+1,$vec$(k).$