Solve the all parts of given problem:
Problem: We have seen the force on a moving charge given by F =q V X B where q is the charge, V the velocity vector and B the magnetic field vector. Let's imagine that we have a magnetic field that is everywhere pointing in the vertical direction.
Part A: What directions for V will produce a maximum magnetic force?
Part B: What directions for V will produce a minimum magnetic force?
Part C: Find the values of the magnitude of the two forces in cases (a) and (b).
Please clarify the equations and steps are used to get the answer. Thanks!