Question $3$

Two long, straight, parallel wires are $1\mathrm{.}00$ m apart $($Fig$.$ above$).$ The wire on the left carries a current $I_1=6\mathrm{.}00$A into the plane of the paper and $I_2=2\mathrm{.}0$A out of the plane of the paper. The distances are $x_1=0\mathrm{.}5m($from $I_1$ to point Q $),x_2=0\mathrm{.}5m($from $I_2$ to point P $)$ and $x=1\mathrm{.}0m($between $I_1$&$I_2).$ Calculate the net magnetic field due to both wires at locations $Q$ and $P$ along $x-$axis, respectively by following the steps:

a$)$ Write down the equations $($using symbols only$)$ for the magnetic fields vec$(B{)}_{1Q},$vec$(B{)}_{1P},$vec$(B{)}_{2Q},$vec$(B{)}_{2P}$ created by $I_1$&$I_2$ at locations Q and P $.$ Your answer should have appropriate unit vectors. $($Note: there will be $4$ equations: $2$ for location $Q$ and $2$ for location $P$ due to currents points$)$