Q$\mathrm{.}37$

Write $a$ in the form $a=a_{T}T+a_{N}N$ at the given value of $t$ without finding $T$ and $N.$

$r(t)=(3t+5)i+(2t)j+(-t^2)k,t=-3$

$a=()T+()N$

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$($Type exact answers, using radicals as needed.$)$