Consider vectors $u$ and $v.$

$u=($:$3,-3,5$:$),v=($:$0,6,4$:$)$

Find the following.

$($a$)u*v$

$($b$)u*u$

$($c$)||v|{|}^2$

$($d$)(u*v)v$

$($e$)u*(3v)$