Find both the vector equation and the parametric equations of the line through \( (0,0,0) \) that is perpendicular to both \( \mathbf{u}=\langle 0,-2,-2\rangle \) and \( \mathbf{w}=\langle-2,-1,0\rangle \) where \( t=0 \) corresponds to the given point.
The vector equation is \( \langle x, y, z\rangle=\langle 0,0,0\rangle+ \)