Let $\overline{\mathrm{x}}=\overline{\mathrm{i}}+\overline{\mathrm{j}}$ and $\overline{\mathrm{y}}=\overline{3\mathrm{i}}-2\overline{\mathrm{k}}.$ Then the vector $\overline{\mathrm{r}}$ of magnitude $\sqrt{21}$ satifying $\overline{\mathrm{r}}\times \overline{\mathrm{x}}=\overline{\mathrm{y}}\times \overline{\mathrm{x}}$ and $\overline{\mathrm{r}}\times \overline{\mathrm{y}}=\overline{\mathrm{x}}\times \overline{\mathrm{y}}$ is

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