A straight thin wire carrying a current of \(I=1\) A in the direction
\[ \hat{n} = \frac{1}{\sqrt6}\hat{i}+\frac{2}{\sqrt6}\hat{j}+\frac{1}{\sqrt6}\hat{k} \]
is placed inside a magnetic field of \(\vec{B} = (2\hat{i}+2\hat{k})\) T.
The force per unit length on the wire is \(\_\_\_\_\_\) N/m.