$1 \mu \mathrm{C}$ charge moving with velocity $\vec{v}=(\hat{i}-2 \hat{j}+3 \hat{k}) \mathrm{m} / \mathrm{s}$ in the region of magnetic field $\overrightarrow{\mathrm{B}}=(2 \hat{i}+3 \hat{j}-5 \hat{k}) \mathrm{T}$. The magnitude of force acting on it is $\sqrt{\alpha} \times 10^{-6} \mathrm{~N}$. The value of $\alpha$ is $\_\_\_\_$ .