Answer
Consider the vectors ${u}=(4,0,-3,5), \quad {v}=(0,2,5,4)$
(a) \begin{align*} u-v &=(4,-2,-8,1). \end{align*}
(b) \begin{align*} 2(u+3v)&=(8,12,24,34). \end{align*}
(c) \begin{align*} 2v-u =(-4,4,13,3). \end{align*}
PREVIEW
Work Step by Step
Consider the vectors ${u}=(4,0,-3,5), \quad {v}=(0,2,5,4)$
(a) \begin{align*} u-v &=(4,0,-3,5)-(0,2,5,4)\\ &=(4,-2,-8,1). \end{align*}
(b) \begin{align*} 2(u+3v)&=2((4,0,-3,5)+3(0,2,5,4))\\ &=2((4,0,-3,5)+ (0,6,15,12))\\ &=2(4,6,12,17)\\ &=(8,12,24,34). \end{align*}
(c) \begin{align*} 2v-u &=2(0,2,5,4)-(4,0,-3,5)\\ &=(0,4,10,8)-(4,0,-3,5)\\ &=(-4,4,13,3). \end{align*}
