We present the first full-sky analysis of the cosmic ray arrival direction distribution with data collected by the HAWC and IceCube observatories in the Northern and Southern hemispheres at the same median primary particle energy of 10 TeV. The combined sky map and angular power spectrum largely eliminate biases that result from partial sky coverage and holds a key to probe into the propagation properties of TeV cosmic rays through our local interstellar medium and the interaction between the interstellar and heliospheric magnetic fields. From the map we determine the horizontal dipole components of the anisotropy $delta_{0h} = 9.16 times 10^{-4}$ and $delta_{6h} = 7.25 times 10^{-4}~(pm0.04 times 10^{-4})$. In addition, we infer the direction ($229.2pm 3.5^circ$ RA , $11.4pm 3.0^circ$ Dec.) of the interstellar magnetic field from the boundary between large scale excess and deficit regions from which we estimate the missing corresponding vertical dipole component of the large scale anisotropy to be $delta_N sim -3.97 ^{+1.0}_{-2.0} times 10^{-4}$.