Calculate $\nabla\cdot F$ and $\nabla\wedge$$F$ for the vector function $F(x,y,z)=(a\wedge r)\wedge r$ where $r=xi+yj+zk$ and $a$ is a constant vector.
So little stuck here, I have used the fact that $F(x,y,z)=(a\wedge r)\wedge r$ $= (a\cdot r)r-(r\cdot r)a$ then I broke all the terms down using $a_{1}, a_{2}, a_{3}$ etc however this gets very tedious and there most be a better way, I must be missing some identity,
any help would be much appreciated, many thanks.