Two alpha particles move perpendicular to each other at velocities: v_a = 3.2 × 10 ⁶ î m/s and v_b = 2.5 × 10 ⁶ ĵ m/s. The alpha particles enter a region with a uniform magnetic field. Both particles will experience magnetic forces of magnitude of: F_a = 1.6 × 10 ^-15 k̂ N and F_b = -1.8 × 10 ^-15 k̂ N, respectively, while remaining within the same magnetic field. Calculate what the magnetic field's strength and direction will be given as a counterclockwise angle from the +x-axis. Also assume that v_a points along the +x-axis.