Answer
$\lt (\frac{-1}{3\sqrt 3}),(\frac{-1}{3\sqrt 3}),(\frac{5}{3\sqrt 3}) \gt $
and
$\lt (\frac{1}{3\sqrt 3}),(\frac{1}{3\sqrt 3}),(\frac{-5}{3\sqrt 3}) \gt $
Work Step by Step
$\begin{vmatrix} i&j&k \\ 3& 2&1\\-1&1&0\end{vmatrix}= \lt -1,-1,5 \gt$
$d=\sqrt {(-1)^2+(-1)^2+(5)^2}$
$=\sqrt {27}$
$=3\sqrt 3$
$ =\lt -1,-1,5 \gt \div 3\sqrt 3$
$=\lt (\frac{-1}{3\sqrt 3}),(\frac{-1}{3\sqrt 3}),(\frac{5}{3\sqrt 3}) \gt $
$\begin{vmatrix} i&j&k \\ -1&1&0\\ 3& 2&1 \end{vmatrix}= \lt 1,1,-5 \gt$
$d=\sqrt {(1)^2+(1)^2+(-5)^2}$
$=\sqrt {27}$
$=3\sqrt 3$
$ =\lt 1,1,-5 \gt \div 3\sqrt 3$
$=\lt (\frac{1}{3\sqrt 3}),(\frac{1}{3\sqrt 3}),(\frac{-5}{3\sqrt 3}) \gt $
