The result of this operation does not transform contravariantly under parity inversion, making it a (*) pseudovector.
This operation is used to couple neighboring particle spins in the DzyaloshinskiiÂ–Moriya antisymmetric exchange Hamiltonian. Its kth component can be written as the LeviÂ–Civita ("LAYÂ­vee CHEEÂ­veeÂ­ta") symbol of ijk times xÂ­subÂ­i times yÂ­subÂ­j. This operation is nested within itself in the expression for centrifugal force in a rotating reference frame. The result of this operation does not transform contravariantly under parity inversion, making it a (*) pseudovector. This operation is applied to the magnetic moment and the externalmagnetic field to give the torque on a dipole. This operation applied to a particle's velocity and the magnetic field gives a component of the Lorentz force law, whose direction you can find using the rightÂ­hand rule. For 10 points, name this operation that takes two vectors and returns a vector orthogonal to both of them.
This operation is used to couple neighboring particle spins in the DzyaloshinskiiÂ–Moriya antisymmetric exchange Hamiltonian.
cross product