Vector Algebra

If \(\overrightarrow P = 3\widehat i + \sqrt 3 \widehat j + 2\widehat k\) and \(\overrightarrow Q = 4\widehat i + \sqrt 3 \widehat j + 2.5\widehat k\) then, the unit vector in the direction of \(\overrightarrow P \times \overrightarrow Q\) is \({1 \over x}\left( {\sqrt 3 \widehat i + \widehat j - 2\sqrt 3 \widehat k} \right)\). The value of \(x\) is _________.