Three particles P, Q and R are moving along the vectors \(\vec A=\hat i+\hat j,\,\vec B=\hat j+\hat k\) and \(\vec C=-\hat i+\hat j\) respectively. They strike on a point and start to move in different directions. Now particle P is moving normal to the plane which contains vector \(\vec A\) and \(\vec B\). Similarly particle Q is moving normal to the plane which contains vector \(\vec A\) and \(\vec C\). The angle between the direction of motion of P and Q is cos-1\(\left(\cfrac1{\sqrt{\text x}}\right)\). Then the value of x is __________.
