If \(\vec u = \hat i + \;2\hat j - \;\hat k\;and\;\vec v = 2\hat i - \hat k\) are two vectors such that \(\left| {\vec u + \;2\vec v} \right| \le x\) then find the value of x ?
1
\(2\sqrt 5 + \sqrt 3\)
2
\(2\sqrt 5 + \sqrt 6\)
3
\(\sqrt 5 + \sqrt 3\)
4
None of these