Answer
$(-3,4,20)$
Work Step by Step
$5\mathbf{u}-3\mathbf{v}-\frac{1}{2}\mathbf{w}$
$\mathbf{u}=(1,2,3)\quad\mathbf{v}=(2,2-1)\quad\mathbf{w}=(4,0,-4)$
$5\mathbf{u}-3\mathbf{v}-\frac{1}{2}\mathbf{w}=5(1,2,3)-3(2,2,-1)-\frac{1}{2}(4,0,-4)$
$=(5,10,15)-(6,6,-3)-(2,0,-2)=(-3,4,20)$