A different rod with the same mass per unit length, $400\frac{g}{m},$ is bent into an asymmetric Z shape, as shown in the figure.

The lengths of the segments are $a=1\mathrm{.}3m,b=0\mathrm{.}45m,$ and $c=0\mathrm{.}75m.$

Determine the position vec$(r{)}_{cm}$ of the Z$-$rod's center of mass.

Enter your answer using ij unit vector notation. Round numerical values to two significant figures.

vec$(r{)}_{cm}=$

$$ m Incorrect Answer