Equal current $i$ is flowing in three infinitely long wires along positive $x, y$ and $z$ directions. The magnitude field at a point $(0, 0, -a)$ would be:
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Point $(0,0,-a)$ lies on $x-axis,$ therefore magnetic field due to
current along $z-axis$ is zero and due to rest two infinitely long wires is $\frac{\mu_{0}}{2 \pi} \frac{1}{a}$
Magnetic field due to current $I$ in the x-direction is along $y-direction.$
Magnetic field due to current $I$ in the ydirection is along$-ve$ $x-direction.$
$B_{\text {total}}^{\rightarrow}=\frac{\mu_{0}}{2 \pi} \frac{1}{a}(\hat{j}-\hat{i})$
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