Answer
(a) $u-v =(-6,-4,6,1,9).$
(b) $2(u+3v) =(36,56,-12,26,-22).$
(c) $2v-u =(12,12,-9,2,-14).$
Work Step by Step
Consider the vectors ${u}=(0,4,3,4,4), \quad {v}=(6,8,-3,3,-5)$
(a) \begin{align*}
u-v &=(0,4,3,4,4)-(6,8,-3,3,-5)\\
&=(-6,-4,6,1,9).
\end{align*}
(b) \begin{align*}
2(u+3v)&=2((0,4,3,4,4)+3(6,8,-3,3,-5))\\
&=2((0,4,3,4,4)+ (18,24,-9,9,-15))\\
&=2(18,28,-6,13,-11)\\
&=(36,56,-12,26,-22).
\end{align*}
(c) \begin{align*}
2v-u &=2(6,8,-3,3,-5)-(0,4,3,4,4)\\
&=(12,16,-6,6,-10)-(0,4,3,4,4)\\
&=(12,12,-9,2,-14).
\end{align*}
