An electron moves with velocity v⃗ =(5.8i−6.7j)×104m/s in a magnetic field B⃗ =(−0.81i+0.60j)T.

Determine the x-component of the force on the electron.

Determine the y-component of the force on the electron.

Determine the z-component of the force on the electron.

Fₓ = 0,   = 0  and   = - 3.115 10⁻¹⁵   N

Explanation:

The magnetic force given by the expression

       F = q v xB

the bold are vectors,  the easiest analytical way to determine this force in solving the determinant

   F = 1.6 10⁻¹⁵ [ i( 0-0) + j (0-0) + k^( 5.8 0.60 - 0.81 67) ]

   F =i^0 + j^0   - k^  3.115 10⁻¹⁵   N

Fₓ = 0

= 0

= - 3.115 10⁻¹⁵   N