Answer
41.7 J
Work Step by Step
Displacement $\vec{d}=\vec{r}_{2}-\vec{r}_{1}$
$=(-4.10-2.70)\hat{i}+(3.30-(-2.90))\hat{j}+(5.40-5.50)\hat{k}$
$=-6.80\hat{i}+6.20\hat{j}-0.10\hat{k}$
$W= \vec{F}\cdot\vec{d}=F_{x}d_{x}+F_{y}d_{y}+F_{z}d_{z}$
$=(2.00\times-6.80)\,Nm+(9.00\times6.20)\,Nm+(5.30\times-0.10)\,Nm$
$=(-13.6+55.8-0.53)\,J=41.7\,J$
