Answer:

Step-by-step explanation:
The force excerted by a magnetic field on a charged particle is given by the Lorentz force:

Lets consider the z-direction of our coordinate system the same direction of the magnetic field, that is:

Let us consider that the velocity of a given particle is:

Therefore, since k×k = 0

And since i, j , k are a rigth hand system:
i × j = k
j × k = i
k × i = j --> i × k= -j

Threfore, if the particle has charge q and velocity v = (vx,vy,vz), the magnetic force it will feel will be
