An infinitely long wire carrying \(1\ \text{A}\) current in the \(+Z\) direction is placed at \((1\ \text{cm},1\ \text{cm})\). Another wire carrying \(1\ \text{A}\) in \(+X\) direction is placed at \(y=1\ \text{cm}\). If the magnetic field due to this configuration at the origin is \(\vec{B}\). Let \(B_0\) be the magnitude of the field if only the wire at \((1\ \text{cm},1\ \text{cm})\) was present, then \(\frac{\vec{B}}{B_0}\) is