If $${\vec a}$$ is a constant vector and $$\vec r = x\hat i + y\hat j + z\hat k,$$    then div $$\left( {\vec a \times \vec r} \right)$$  and curl $$\left( {\vec a \times \vec r} \right)$$  are given by

A. $$\left( {2\vec a,\,0} \right)$$

B. $$\left( {\vec a,\,0} \right)$$

C. $$\left( {0,\,2\vec a} \right)$$

D. $$\left( {0,\,\vec a} \right)$$

Answer: Option C