# Solved Problems-2

Problems-2
1. For a vector field , show explicitly that , i.e., the divergence of the curl of any vector field is zero.
2. For a scalar field V, show that , i.e., the curl of the gradient of any scalar field is zero.
Solution
1. Let,

 âˆ´ âˆ´ âˆ´
1.
 âˆ´ âˆ´

Note: These two vector identities are known as null identities.