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## Main Question or Discussion Point

(r×∇).(r×∇)=r.∇×(r×∇)

now in index notation it is written as,

=x

but when I tried to prove it ,it just came out twice.can anyone tell how it is correct(given is the correct form).i really mean that i was getting four terms which gave twice of above after reshuffling so prove it.

now in index notation it is written as,

=x

_{i}∂_{j}x_{i}∂_{j}-x_{i}∂_{j}x_{j}∂_{i}but when I tried to prove it ,it just came out twice.can anyone tell how it is correct(given is the correct form).i really mean that i was getting four terms which gave twice of above after reshuffling so prove it.