$13\mathrm{.}13.$ If we imagine completing the circular arc, we can place the origin at the center of the circle. Calculate the electric field vector at the origin due to the charged arc of wire. Assume that the wire is in the x$-$y$$ plane and that it extends from $=0=0$ to $=1\mathrm{.}2$$=1\mathrm{.}2$ radians, where $$ is the angle with the positive x$-$axis.

$[$Enter your answer as a vector using the string format $\text{'}$X$*$i $+$ Y$*$j $+$ Z$*$k$\text{'}$ where $\text{'}$i$,$j$,$k$\text{'}$ are symbols for the unit vectors along the x$,$ y$,$ and z$$ directions, respectively. The symbol $\text{'}$X$\text{'}$ stands in for the value you calculate for the field component along the x$-$axis to two$-$decimal precision, and similarly for $\text{'}$Y$\text{'}$ and $\text{'}$Z$\text{'}.]$

$[$If a component has a value of zero, enter it in explicitly.$]$

$[$Do not enter in units. Assume the components are in units of N$/$C$.]$