Let $V$ and $W$ be vector spaces and let $\vec{v}_1, \vec{v}_2 \in V$ and $\vec{w}_1, \vec{w}_2 \in W$.

1. Suppose $T : V \to W$ is a linear transformation. Find $T( 3 \vec{v}_1 - \vec{v}_2)$ and write your answer in terms of $T(\vec{v}_1)$ and $T(\vec{v}_2)$. (Enter $T(\vec{v}_1)$ as $\verb+T(v1)+$ and $T(\vec{v}_2)$ as $\verb+T(v2)+$.)
   
   $T( 3 \vec{v}_1 - \vec{v}_2) =$ .
   
   
2. Suppose $L : V \to W$ is a linear transformation such that $L(\vec{v}_1) = \vec{w}_1 + \vec{w}_2$ and $L(\vec{v}_2) = - 6 \vec{w}_2$. Find $L(3 \vec{v}_1 + 8 \vec{v}_2)$ in terms of $\vec{w}_1$ and $\vec{w}_2$. (Enter $\vec{w}_1$ as $\verb+w1+$ and $\vec{w}_2$ as $\verb+w2+$.)
   
   $L(3 \vec{v}_1 + 8 \vec{v}_2) =$ .