A vector $\overrightarrow{\mathrm{v}}$ in the first octant is inclined to the x - axis at 60^o, to the  y-axis at 45^o and to the z - axis at  an  acute angle. If a plane passing through the points ($\sqrt{2}$, -1, 1) and (a, b, c), is normal to $\overrightarrow{\mathrm{v}}$, then