When a wire \(2.0 \mathrm{~m}\) long carries a 10-A current in the \(+x\) direction in a uniform external magnetic field, the magnetic force exerted by the field on the wire is \(3 \mathrm{~N}\) in the \(+y\) direction. When the wire is rotated until the charge carriers travel in the \(+y\) direction, the magnitude of the magnetic force exerted by the field on the wire is \(5 \mathrm{~N}\). What are the magnitude and direction of the magnetic field?