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We present the first full-sky analysis of the cosmic ray arrival directiondistribution with data collected by the HAWC and IceCube observatories in theNorthern and Southern hemispheres at the same median primary particle energy of10 TeV. The combined sky map and angular power spectrum largely eliminatebiases that result from partial sky coverage and holds a key to probe into thepropagation properties of TeV cosmic rays through our local interstellar mediumand 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 $\delta_{6h} = 7.25 \times10^{-4}~(\pm0.04 \times 10^{-4})$. In addition, we infer the direction($229.2\pm 3.5^\circ$ RA , $11.4\pm 3.0^\circ$ Dec.) of the interstellarmagnetic field from the boundary between large scale excess and deficit regionsfrom which we estimate the missing corresponding vertical dipole component ofthe large scale anisotropy to be $\delta_N \sim -3.97 ^{+1.0}_{-2.0} \times10^{-4}$.

All-Sky Measurement of the Anisotropy of Cosmic Rays at 10 TeV and Mapping of the Local Interstellar Magnetic Field