normal plane to the curve intersecting a plane

Hey everyone,

This question is driving me mental. Sorry for not using latex, I swear I will figure it out soon (Wink)

ok here it is.

At what point on the curve **r**(t) = (t^3,3t,t^4) is the normal plane parallel to the plane 3x+3y-4z = 9 (the normal plane is the plane through the point **r**(t) which is normal to **r**(t))

I usually explain what I have tried already, but none of it is making any sense, so I decided to spare myself the humiliation.

Thanks ahead of time