(2) The Earth's main magnetic field at the surface (radius = 6371 km) can be approximated by a single dipole moment at the Earth's centre with the...

(2) The Earth's main magnetic field at the surface (radius = 6371 km) can be approximated by a single dipole moment at the Earth's centre with the following (x,y,z) components:

mz = -7.7 x 1022 A m2, mx = -0.479 x 1022 A m2, my = 1.399 x 1022 A m2.

Calculate the location (latitude, longitude) where the axis of this dipole field intersects the Earth's surface (i.e. where the magnetic field is locally purely vertical and pointing radially outward).