If the angle between the vectors a and b is (π)/4 and | a × b |=1, then a · b is equal to

If the angle between the vectors $\displaystyle \overrightarrow{\mathrm{a}}$ and $\displaystyle \overrightarrow{\mathrm{b}}$ is $\displaystyle \frac{\pi}{4}$ and $\displaystyle |\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}|=1$, then $\displaystyle \overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{b}}$ is equal to