## Thomas' Calculus 13th Edition

$(\dfrac{4}{3},\dfrac{-2}{3},\dfrac{-2}{3})$
Here, the equation of a normal plane is: $n=\lt 2,-1,-1 \gt$ and $3(2t)-5(-t)+2(-t)=6$ or, $9t =6 \implies t=\dfrac{2}{3}$ The parametric equations are: $x=2(\dfrac{2}{3})=\dfrac{4}{3}; y=-\dfrac{2}{3}; z=-\dfrac{2}{3}$ Therefore, the line will meet the plane at the point: $(\dfrac{4}{3},\dfrac{-2}{3},\dfrac{-2}{3})$