$1.$ A $15$C charge is moving in the positive y$-$direction with a velocity of $200,000$ km$/$s$.$ Find the value of the magnetic field at the following locations.$$ All coordinates are given as $($x$,$y$,$z$)$:

a$)(3$cm$,0,0)$

b$)(0,2$cm$,0)$

c$)(0,0,-3$ cm$)$

$2.$ Suppose the charge from the first question is moving while inside a constant magnetic field of $10$ mT which is directed in the positive z$-$direction.$$ What force will the charge feel $($magnitude and direction$)?$ Draw a picture to represent the directions of v$,$ B$,$ and F$.$