Explanation

The force exerted on a charged particle by a magnetic field is perpendicular to both the magnetic field and the velocity of the particle. This is described by the Lorentz force equation: F = q (E + v x B)

Where:

• F is the force
• q is the charge
• E is the electric field
• v is the velocity
• B is the magnetic field
• x denotes the cross product

The cross product of two vectors results in a vector that is perpendicular to both of the original vectors.

Therefore, the force due to the magnetic field and velocity is at right angles to each other.