1. The problem statement, all variables and given/known data 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)) 2. Relevant equations I'm not really sure. 3. The attempt at a solution (6t)(x-t^3) + (0)(y-3t) + (8t)(z-t^4) = 0 But that got me nowhere. Thanks in advance.