Orientation/3x3/2 4 -5 7 6 -1 0 2 -3 and -3 6 2 -4 4 -2 -5 0 13/Exercise

Determine whether the two bases of ${}\mathbb {R} ^{3}$,

${\begin{pmatrix}2\\4\\-5\end{pmatrix}},\,{\begin{pmatrix}7\\6\\-1\end{pmatrix}},\,{\begin{pmatrix}0\\2\\-3\end{pmatrix}}\,\,{\text{ and }}\,\,{\begin{pmatrix}-3\\6\\2\end{pmatrix}},\,{\begin{pmatrix}-4\\4\\-2\end{pmatrix}},\,{\begin{pmatrix}-5\\0\\13\end{pmatrix}},$

represent the same orientation, or not.

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