Trong không gian Oxyz, viết phương trình đường thẳng d đi qua điểm...

Rõ ràng \)">A\notin \left( P \right),A\notin \left( Q \right)\left[ \overrightarrow{{{n}_{\left( P \right)}}};\overrightarrow{{{n}_{\left( Q \right)}}} \right]\left\{ \begin{array}{*{35}{l}}
\overrightarrow{{{n}_{\left( P \right)}}}=\left( 1;-1;1 \right) \\
\overrightarrow{{{n}_{\left( Q \right)}}}=\left( 1;1;-1 \right) \\
\end{array} \right.\Rightarrow \left[ \overrightarrow{{{n}_{\left( P \right)}}};\overrightarrow{{{n}_{\left( Q \right)}}} \right]=\left( 0;2;2 \right)\Rightarrow d \overrightarrow{u}=\left( 0;1;1 \right)A\left( 1;-2;1 \right)\Rightarrow d:\left\{ \begin{array}{*{35}{l}}
x=1 \\
y=-2+t \\
z=1+t \\
\end{array} \right.\text{ }\left( t\in \mathbb{R} \right)$.