Question

cross product of G = dot product of F Verify.

Answer 1

\[del x G =del . F\]

Answer 2

I don't understand what you're asking. If F and G are vector fields, then \(\large \nabla\times G=\mathrm{curl}\,G\) is a vector quantity and \(\large \nabla \cdot F = \mathrm{div}\,F\) is a scalar quantity. Thus, these two quantities can never be equivalent.

Could you please clarify what is being asked? :-)

Answer 3

It was asking to verify the equation and if its not true explain why. That is exactly what I was thinking!

Answer 4

could you show me how to prove stokes theorem for a given vector?