Let x and y be $($nonzero$)$ word count vectors for two documents, associated with a given dictionary.

Choose one in each of the subproblems below, and briefly justify your answer.

$($a$)$ If $6($x$,$ y$)=0,$ we can conclude

$($i$)$ the documents are identical

$($ii$)$ the documents share no dictionary words

$($iii$)$ the word count histogram vectors of the two documents are the same

$($iv$)$ the documents have the same author

$($v$)$ the documents have different authors

$($b$)$ If $6($x$,$ y$)=90$

$,$ we can conclude

$($i$)$ the documents are identical

$($ii$)$ the documents share no dictionary words

$($iii$)$ the word count histogram vectors of the two documents are the same

$($iv$)$ the documents have the same author

$($v$)$ the documents have different authors