A particle carrying a 50C charge moves with velocity v(vector) = 5.0i + 3.2k m/s through a

A particle carrying a 50μC charge moves with velocity v(vector) = 5.0î + 3.2k̂ m/s through a magnetic field given by B(vector)= 9.4 î + 6.7 ĵ T.
(a) Find the magnetic force on the particle.
(b) Form the dot products F(vector)•V(vector) and F(vector)•B(vector)  to show explicitly that the force is perpendicular to both v(vector) and B(vector).