The above shows the path of a charged particle in an \(xyz\)-space where a uniform magnetic field exists in the \(+x\) direction. When the particle is thrown at a speed of \(v,\) forming a \(60°\) angle with the direction of the magnetic field, its path takes a helical motion as shown above. It takes \(T\) seconds for the particle to complete a turn around. Which of the following statements is correct?
a) The particle is a positive electric charge.
b) The direction of the magnetic force is perpendicular to the direction of the magnetic field.
c) The particle moves \(vT\) in the \(+x\) direction in \(T\) seconds.