Answer:
Therefore, the force exerted by the magnetic field on the particle goes along the positive y- direction
Explanation:
The equation for the force exerted on a particle due to the magnetic field is equal to:
F = q*(v * B)
If we replace vi for v, +q for q and -Bk for B, we have:
F = +q*(vi*(-Bk)) = -q*v*B*(i * k)
From this equation we have that the vector i is in direction -x and k in direction -z
We compute the cross product of two unit vectors:
i * k = -j, where j is the vector along -y direction
Replacing we have:
F = -q*v*B*(-j) = -q*v*B*j
Therefore, the force exerted by the magnetic field on the particle goes along the positive y- direction
