Magnetic Field loops of wire Question

[member 217843]

Homework Statement

What is the direction of the magnetic field at the center of the two current carrying loops of wire?

Homework Equations

Right hand rules

The Attempt at a Solution

I understand that the current from the horizontal wire produces a field going in the upward direction (clockwise around the loop itself) in the middle of the loops, and the vertical wire is producing a field in the rightward direction (clockwise around that loop), but how is the direction of both fields calculated?

 

[gneill]

Add them like vector components. One component points upwards (a z-component), the other is horizontal (call it a y-component, so the +x-axis points more or less out of the page).