Find the stress vector acting on a surface if the stress tensor is:

\[ \overrightarrow{\vec{T}}=\left(\begin{array}{ccc} 5 & -3 & 10 \\ -3 & 2 & 4 \\ 10 & 4 & 7 \end{array}\right) \]

and the normal of the surface is given by: \(\vec{n}=\frac{1}{\sqrt{2}} \hat{i}+\frac{1}{\sqrt{2}} \hat{j}+0 \hat{k}\).