Answer
$$\langle-2,-2,3 \rangle.$$
Work Step by Step
$$\frac{1}{2}\langle 4,-2,8 \rangle-\frac{1}{3}\langle 12,3,3 \rangle=\langle 2,-1,4 \rangle-\langle 4,1,1 \rangle\\
=\langle-2,-2,3 \rangle.$$
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