A straight, vertical wire carries a current of 1.20 $\mathrm{A}$ downward in a region between the poles of a large superconducting electromagnet, where the magnetic field has magnitude $B=$ 0.588 $\mathrm{T}$ and is horizontal. What are the magnitude and direction of the magnetic force on a $1.00-\mathrm{cm}$ section of the wire that is in this uniform magnetic field, if the magnetic field direction is (a) east;
(b) south; (c) $30.0^{\circ}$ south of west?