Consider the two long straight wires shown below, both oriented perpendicular to the plane of the page. The first wire is sitting at $(-0\mathrm{.}200$ m$,0)$ in the xy$-$plane and carries a current of $6\mathrm{.}00$ A into the page. The second wire is sitting at $(+0\mathrm{.}200$ m$,0)$ and carries a current of $6\mathrm{.}00$ A out of the page.

a$)$ Calculate the net magnetic field $($magnitude and direction$)$ at the origin O$,$ the midpoint of the wires.

b$)$ Calculate the net magnetic field $($magnitude and direction$)$ at point P with coordinates $(0,+0\mathrm{.}200$ m$).$