$q,$ Signature: $q,$

$2.(16$ pts $)$ As shown in the figure, two long straight wires of length $5$ m are separated by a distance of $d=0\mathrm{.}80$ m $.$ The currents are to the right in $I_1=2\mathrm{.}0$A the upper wire and $I_2=7\mathrm{.}0A$ to the left in the lower wire. Point $P$ is a distance $\frac{d}{2}=0\mathrm{.}40m$ below the lower wire. $($you can assume the plane of the paper as $x-y$ plane and the $+z$ axis pointing perpendicular away from the plane of the paper$)$

a$)$ What are the magnitude and direction of the magnetic field $B_1$ due to wire $1$ at point $P?$

b$)$ What are the magnitude and direction of the magnetic field $B_2$ due to wire $2$ at point $P?$

c$)$ What are the magnitude and direction of the magnetic net field $B_{\text{N}\text{E}\text{T}}$ due to wire $1$ and wire $2$ at point $P?$

d$)$ Find the force per unit length that wire $1$ exerts on wire $2.$ Is the force attractive or repulsive?