The direction cosines of a vector $\overrightarrow{\mathrm{A}}$ are $\cos \mathrm{\alpha }=\frac{4}{5\sqrt{2}},\cos \mathrm{\beta }=\frac{1}{\sqrt{2}}\text{ and }\cos \mathrm{\gamma }=\frac{3}{5\sqrt{2}},$ then the vector $\overrightarrow{\mathrm{A}}$ is