Find the representation of $\left<-5,4,-2\right>$ in each of the following ordered bases. Your answers should be vectors of the general form $\verb+<1,2,3>+$.

1. Represent the vector $\left<-5,4,-2\right>$ in terms of the ordered basis $\mathcal{B} = \lbrace \vec{i}, \vec{j}, \vec{k} \rbrace$.
   
   $\lbrack \left<-5,4,-2\right> \rbrack_{\mathcal{B}} =$
   
   
2. Represent the vector $\left<-5,4,-2\right>$ in terms of the ordered basis $\mathcal{C} = \lbrace \vec{e}_3, \vec{e}_1, \vec{e}_2 \rbrace$.
   
   $\lbrack \left<-5,4,-2\right> \rbrack_{\mathcal{C}} =$
   
   
3. Represent the vector $\left<-5,4,-2\right>$ in terms of the ordered basis $\mathcal{D} = \lbrace -\vec{e}_2, -\vec{e}_1, \vec{e}_3 \rbrace$.
   
   $\lbrack \left<-5,4,-2\right> \rbrack_{\mathcal{D}} =$