A proton moves through a uniform magnetic field giventoy vec$(B)=(15\mathrm{.}0$hat$(i)-25\mathrm{.}4$hat$(j)+12\mathrm{.}7$hat$(k))mT.$ At time $t_1,$ the proton has a velocity given by vec$(v)=v_x$hat$(i)+v_y$hat$(j)+(1\mathrm{.}94k\frac{m}{s})hat(k)$ and the magnetic force on the proton is vec$(F{)}_B=(5\mathrm{.}33{10}^{-17}(N))hat(i)+(3\mathrm{.}15{10}^{-17}(N))hat(j)*(a)$ At that instant, what is $v_x?($b$)$ At that instant, what is $v_y?$