If P =3 i +√ 3 j +2 k and Q =4 i +√ 3 j +2.5 k then, The unit vector in the direction of P × Q is 1/x(√ 3 i+ j -2 √ 3 k ). The value of x is

If $\displaystyle \vec{P}=3 \hat{i}+\sqrt{3} \hat{j}+2 \hat{k}$ and $\displaystyle \vec{Q}=4 \hat{i}+\sqrt{3} \hat{j}+2.5 \hat{k}$ then, The unit vector in the direction of $\displaystyle \vec{P} \times \vec{Q}$ is $\displaystyle \frac{1}{x}(\sqrt{3} i+\hat{j}-2 \sqrt{3} \hat{k})$. The value of $\displaystyle x$ is