Proof of Identity for Curl of a Cross Product
Theorem
Proof
The left hand side gives
The right hand side gives
Both left and right expressions are antisymmetrical in
and
and since the
components are equal, so must the
and
components.
Theorem
Proof
The left hand side gives
The right hand side gives
Both left and right expressions are antisymmetrical inandand since thecomponents are equal, so must theandcomponents.