Answer
4 m
Work Step by Step
$W=0 \implies \vec{F}\cdot\vec{d}=0$
$\implies F_{x}d_{x}+F_{y}d_{y}+F_{z}d_{z}=0$
$\implies(2\,N\times8\,m)+(-4\,N\times c)+(0\times0)=0$
$\implies 16\,J=4\,N\times c$
Or $c=\frac{16\,J}{4\,N}=4\,m$
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