Vector Algebra

\(\overline{\mathrm{a}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}, \overline{\mathrm{b}}=\hat{\mathrm{j}}-\hat{\mathrm{k}}\), then vector \(\overline{\mathrm{r}}\) satisfying \(\overline{\mathrm{a}} \times \overline{\mathrm{r}}=\overline{\mathrm{b}}\) and \(\overline{\mathrm{a}} \cdot \overline{\mathrm{r}}=3\) is