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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.

share|improve this question
    
Is $\wedge$ a common notation in Multivariable Calculus? If not, please define it. I think it may not be well-known. (I say this solely because I've not a single clue where it came from.) –  000 Mar 29 '12 at 20:21
    
Also known as the cross product –  user24930 Mar 29 '12 at 22:00

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