A particle of charge +2.0μC has velocity
v=(3i^+4j^−2k^)×104m s−1
inside a uniform magnetic field
B=(2i^−1j^+5k^)×10−3T.
a. (i) Calculate the magnetic force on the particle in unit–vector form.
b. (ii) Determine the magnitude of this force.
c. (iii) Find the acute angle that the force vector makes with the positive x–axis.