10.
如图所示,在四棱锥\(P-ABCD\)中,\(PD\bot \)平面\(ABCD\),底面\(ABCD\)是菱形,\(\angle BAD={{60}^{0}}\),\(AB=2\),\(PD=\sqrt{6}\).\(O\)为\(AC\)与\(BD\)的交点,\(E\)为棱\(PB\)上一点,
\((1)\)证明:平面\(EAC⊥\)平面\(PBD\);
\((2)\)若三棱锥\(P-EAD\)的体积为\(\dfrac{\sqrt{2}}{2}\),求证:\(PD/\!/ \)平面\(EAC\).