Prove-that-div-curlA-0-Help- Tinku Tara June 4, 2023 Others 0 Comments FacebookTweetPin Question Number 186074 by Mastermind last updated on 31/Jan/23 Provethatdiv(curlA−)=0Help! Answered by aleks041103 last updated on 30/Apr/23 Usingeinsteinconvention:div(curl(v))==∂i(εijk∂jvk)==εijk∂i∂jvk==−εjik∂i∂jvkSchwartzrule:∂i∂j=∂j∂i⇒εjik∂i∂jvk=εjik∂j∂ivkrenamingi→jandj→i⇒εjik∂i∂jvk=εijk∂i∂jvk=div(curl(v))⇒div(curl(v))=−div(curl(v))⇒div(curl(v))=0Note:εijkistheLevi−Civitasymbolwhereεijk={+1,(ijk)isanevenperm.of(123)−1,(ijk)isanoddperm.of(123)0,ifanytwoofi,jorkareequal⇒εijkiscompletelyantisymmetric,i.e.εijk=−εjikAlso,itistruethat:a→=aiei→,b→=bjej→a→×b→=εijkaibjek→ Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Question-186069Next Next post: Question-186079 Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.