The divergence of the vector A is given bu div(A)=
∂Ax
∂x
+
∂Ay
∂y
+
∂Az
∂z
Here Ax=2x+1,Ay=(x2−6y),Az=(xy2+3z) Hence div(A)=2−6+3=−1 If div(A)>0, the field is a source field. If div(A)<0, the field is a sink field. If div(A)=0, the field is a solenoidal field. Since div(A)=−1, the vector field is a sink field.