We report spectroscopic and laser properties for propagation directions outside the principal axes of Yb 3+ -doped low symmetry laser crystals with a special devotion to the wavelength dependence anisotropy. We illustrate our report with experimental data in the 900-1075 nm range of wavelengths from the Yb 3+ :La 2 CaB 10 O 19 monoclinic crystal excited under laser diode pumping at 975 nm. This study, which makes easier the realization of Yb 3+ lasers with an efficient free-running operation at the wavelength having the highest emission intensity or at a specified wavelength, or emitting two frequencies with a specified frequency difference, is of promising interest for applications.