Here's why:
* The magnetic force depends on the cross product: The force on a moving charge in a magnetic field is described by the Lorentz force law:
* F = q(v x B)
* Where:
* F is the magnetic force
* q is the charge
* v is the velocity of the charge
* B is the magnetic field
* 'x' represents the cross product
* Cross product properties: The cross product of two vectors results in a vector that is perpendicular to both original vectors.
In summary:
* The magnetic force is perpendicular to the velocity because the Lorentz force law involves the cross product of velocity and magnetic field.
* This perpendicular relationship is a fundamental aspect of electromagnetism and is responsible for many phenomena, including the operation of electric motors and the deflection of charged particles in magnetic fields.