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Hello, I am supposed to prove that the below is true
[[tex]\delta_{}im[/tex][tex]\delta_{}jn[/tex](em x en)][tex]\bullet[/tex][[tex]\delta_{}pr[/tex][tex]\delta_{}qs[/tex](er x es)] = [tex]\delta_{}ip[/tex][tex]\delta_{}jq[/tex] - [tex]\delta_{}iq[/tex][tex]\delta_{}jp[/tex]
where em, en,... are random unit vectors and that bullet point is supposed to be the dot product. I am supposed to consider all possible combinations of m,n,r, and s to show this.
Thank you
[[tex]\delta_{}im[/tex][tex]\delta_{}jn[/tex](em x en)][tex]\bullet[/tex][[tex]\delta_{}pr[/tex][tex]\delta_{}qs[/tex](er x es)] = [tex]\delta_{}ip[/tex][tex]\delta_{}jq[/tex] - [tex]\delta_{}iq[/tex][tex]\delta_{}jp[/tex]
where em, en,... are random unit vectors and that bullet point is supposed to be the dot product. I am supposed to consider all possible combinations of m,n,r, and s to show this.
Thank you