An electron moves with velocity v⃗ = (5.9i-6.4j) * 104m/s in a magnetic field B⃗ = (-0.63i+0.65j) T. Determine the z-component of the force on the electron. Fz=?

Force on the electron = q (v x B)

q = - 1.6 x 10⁻¹⁹

v = (5.9i-6.4j) * 10⁴

B = (-0.63i+0.65j)

v x B = (5.9i-6.4j) * 10⁴ x (-0.63i+0.65j)

= (3.835 - 4.032) x 10⁴ k

= - 1970 k

Force on the electron = q (v x B)

= - 1.6 x 10⁻¹⁹ x - 1970 k

= 3.152 x 10⁻¹⁶ k

z-component of the force on the electron

Fz = 3.152 x 10⁻¹⁶ N