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