Answer
The magnetic force is $2.1 \times 10^{-14}~N$ and this force is directed to the west.
Work Step by Step
We can find the magnetic force:
$F = q~v\times B$
$F = (-1.6\times 10^{-19}~C)(4.5\times 10^7~m/s)(5.0\times 10^{-3}~T)~sin~145^{\circ}$
$F = -2.1 \times 10^{-14}~N$
By the right hand rule, $v \times B$ would be directed to the east if the charge was positive. However, the negative charge results in a force directed to the west.
The magnetic force is $2.1 \times 10^{-14}~N$ and this force is directed to the west.