Answer:
F = 23.1 10⁻¹⁴ N, points inside the page
Step-by-step explanation:
The magnetic force is given by the expression
F = q v x B
bold letters indicate vectors, the magnitude of this formula is
F = q v B sin θ
in this case the magnetic field is in the east direction and the particle moves north, so the angle is 90 and the sine 90 = 1
F = q v B
F = 2 1.6 10⁻¹⁹ 3.8 10⁵ 1.9
F = 23.1 10⁻¹⁴ N
the direction of the force is given by the right hand rule, for a positive charge
the thumb points in the directional of the speed, in this case towards the North
the other fingers extended in the direction of the magnetic field, in this case to the East
the palm points in the direction of the force, consequently it points inside the page,