
在四棱锥\(P-ABCD\)中,\(PD⊥\)底面\(ABCD\),\(ABCD\)为等腰梯形,且\(AB\:/\!/DC\),\(AC⊥BD\),\(AB=2 \sqrt {2}\),\(DC= \sqrt {2}\).
\((1)\)若\( \overrightarrow{CM}=λ \overrightarrow{CP}\),试确定实数\(λ\)的值,使\(PA\:/\!/\)面\(MBD\);
\((2)\)若\(∠APC=90^{\circ}\),设\( \overrightarrow{AN}= \dfrac {2}{3} \overrightarrow{AP}\),求三棱锥\(N-AOD\)的体积.