The coordinate axes shown represent the principal centroidal axes of inertia of a 1500-kg space probe whose radii of gyration are kx = 0.55 m, ky = 0.57 m, and kz = 0.50 m. The probe has no angular velocity when a 0.14-kg meteorite strikes one of its solar panels at A with a velocity v0 (720 m/s)i??(900 m/s)j + (960 m/s)k relative to the probe. Knowing that the meteorite emerges on the other side of the panel with no change in the direction of its velocity, but with a speed reduced by 20 percent, determine the final angular velocity of the probe