Trong không gian $Oxyz$, cho đường thẳng $\left( \Delta...

Gọi \)">A\left( 2t;-3t-1;-3t-4 \right)\in \left( \Delta \right)M\left( 2;-3;-4 \right)AB\left\{ \begin{aligned}
& {{x}_{B}}=2{{x}_{M}}-{{x}_{A}}=4-2t \\
& {{y}_{B}}=2{{y}_{M}}-{{y}_{A}}=-6+3t+1=-5+3t \\
& {{z}_{B}}=2{{z}_{M}}-{{z}_{A}}=-8+3t+4=-4+3t \\
\end{aligned} \right.B\left( 4-2t;-5+3t;-4+3t \right)\in \left( P \right)\Rightarrow 2\left( 4-2t \right)-5+3t+4-3t-3=0\Leftrightarrow 4-4t=0\Leftrightarrow t=1A\left( 2;-4;-7 \right),B\left( 2;-2;-1 \right)\Rightarrow \overrightarrow{AB}=\left( 0;2;6 \right)=2\left( 0;1;3 \right)\Rightarrow AB:\left\{ \begin{aligned}
& x=2 \\
& y=-2+t \\
& z=-1+3t \\
\end{aligned} \right.$.