Final answer:
The force vector, f, directed along a line pq is given by the equation F = qvB sinθ. The direction of the force can be determined using the right-hand rule.
Step-by-step explanation:
The force vector, f, directed along a line pq is given by the equation F = qvB sinθ. In this equation, q represents the charge of the particle, v represents the velocity of the particle, B represents the magnetic field strength, and θ represents the angle between the velocity and the magnetic field.
The direction of the force can be determined using the right-hand rule. By joining the tails of the velocity vector and the magnetic field vector, and curling the right fingers from √ to B, the direction in which the right thumb points represents the direction of the force.
For example, if the velocity vector and the magnetic field vector are both pointing into the page, then the force vector will be directed out of the page.