A wire of length 11 cm carries a current of 1.1 A. When the wire is placed so that the current passes through the wire along the positive x direction, the force on the wire due to an external magnetic field B is measured to be -(0.04 N)j. When the wire is moved so the current through the wire moves along the positive y direction, the force is measured to be (0.04 N)i. What is the magnetic field?

I was hoping you would be showing your work.

The formula F = B I L
should be useful here.

They have told you what B, I and L are.