Which of the vector operations between vec$(A)$ and vec$(B)$ yields a different result when you change the order of vec$(A)$ and vec$(B)?$

$($a$)$ vec$(A)+$vec$(B),$

$($b$)$ vec$(A)-$vec$(B),$

$($c$)$ vec$(A)*vec(B),$

$($d$)$ vec$(A)$vec$(B),$

$($e$)$ Both $($b$)$ and $($d$).$