Question

If $f$ and $F$ are scalar and vector functions respectively, then which of the following is Not Correct?

• A. $\nabla \cdot \nabla f = \nabla^{2}f$
• B. $\nabla \cdot \nabla \times F = 0$
• C. $\nabla \times \nabla f = 0$
• D. $\nabla \times (\nabla \times F) = \nabla \cdot (\nabla F)$

Hint:

Remember: "Curl of Gradient" and "Divergence of Curl" are always zero.

Answer 1

The Correct Option is D