Vector Calculus Identities

The divergence of the curl is equal to zero:


The curl of the gradient is equal to zero:


More vector identities
Index

Vector calculus
 
HyperPhysics*****HyperMath*****CalculusR Nave
Go Back





Divergence Theorem

The volume integral of the divergence of a vector function is equal to the integral over the surface of the component normal to the surface.


Index

Vector calculus
 
HyperPhysics*****HyperMath*****CalculusR Nave
Go Back





Stokes' Theorem

The area integral of the curl of a vector function is equal to the line integral of the field around the boundary of the area.


Index

Vector calculus
 
HyperPhysics*****HyperMath*****CalculusR Nave
Go Back





Vector Identities

In the following identities, u and v are scalar functions while A and B are vector functions. The overbar shows the extent of the operation of the del operator.



Index

Vector calculus
 
HyperPhysics*****HyperMath*****CalculusR Nave
Go Back