VC3.8
From Exampleproblems
Given ![F=[y\frac{\partial f}{\partial z}-z\frac{\partial f}{\partial y}]i+[z\frac{\partial f}{\partial x}-x\frac{\partial f}{\partial z}]j+[x\frac{\partial f}{\partial y}-y\frac{\partial f}{\partial x}]k\,](/wiki/images/math/7/9/c/79ce0d023c56ae0ff43e30a7e65f728e.png)
[Equation 1]
Also,here 
and 
Let this be Equation 2.
i). 
= which is equal to
=
by (1),Hence the first equality was proved.
ii).
by the above proof (i).
=
[Since scalar tripple product vanishes if it contain two equal vectors]
iii). 
[Since scalar tripple product vanishes if it contain two equal vectors]
