Answer
$\vec{B}=(-3.0T)\hat{x}$
Work Step by Step
We know that
$B=\frac{Fsin\theta}{ev}$
We plug in the known values to obtain:
$B=\frac{(2.0\times 10^{-13})sin90^{\circ}}{1.6\times 10^{-19}(4.2\times 10^5)}$
$B=3.0T$
The direction along with magnitude is
$\vec{B}=(-3.0T)\hat{x}$