The distance $\mathrm{PQ}$ between two position vectors $\overrightarrow{\mathbf{P}}=-2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}$ and $\overrightarrow{\mathbf{Q}}=4 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}+7 \hat{\mathbf{k}}$ is______________
The distance $\mathrm{PQ}$ between two position vectors $\overrightarrow{\mathbf{P}}=-2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}$ and $\overrightarrow{\mathbf{Q}}=4 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}+7 \hat{\mathbf{k}}$ is______________