Show that the given equation is both solenoidal and irrotational. 3 c] Show that \overrightarrow{F}=(y^{2}-z^{2}+3yz-2x)\widehat{i}+(3xz+2xy)\widehat{j}+(3xy-2xz+2z)\widehat{k} is both solenoidal and irrotational. Show that \overrightarrow{F}=(y^{2}-z^{2}+3yz-2x)\widehat{i}+(3xz+2xy)\widehat{j}+(3xy-2xz+2z)\widehat{k} is both solenoidal and irrotational.
