Answer:
Magnetic field at given point is along + x direction
Explanation:
As we know that position of the wire is along Y axis
current is flowing along +y direction
so here we will have
[tex]\vec B = \frac{\mu_0 i (\vec {dl} \times \hat r)}{4\pi r^2}[/tex]
now the direction of length vector is along +Y direction
also the position vector is given as
[tex]\hat r = \hat k[/tex]
now for the direction of magnetic field we can say
[tex]\vec B = (\hat j \times \hat k)[/tex]
[tex]\vec B = \hat i[/tex]
so magnetic field is along +X direction