If \(\vec{A} = 2\hat{i}+5\hat{j}\) & \(\vec{B} = 2\hat{i}-\hat{j}\) then the unit vector along the \(|\vec{A}+\vec{B} |\) is
1
\(\frac{1}{\sqrt 2}(\hat {i}- \hat {j})\)
2
\(\frac{1}{\sqrt {29}}(\hat {2i}- \hat {5j})\)
3
\(\frac{1}{\sqrt {5}}(\hat {2i}- \hat {j})\)
4
\(\frac{1}{\sqrt 2}(\hat {i}+ \hat {j})\)