Orientation/1 2 3 and 0 2 -2 and x 5 7/Depending on x/Exercise

We consider in ${ℝ}^3$ the three vectors

$\left(\begin{array}{c}1\\ 2\\ 3\end{array}\right),\left(\begin{array}{c}0\\ 2\\ -2\end{array}\right),\left(\begin{array}{c}x\\ 5\\ 7\end{array}\right).$

a) How do we have to choose $x$ such that these three vectors represent the standard orientation of the ${ℝ}^3$?

b) How do we have to choose $x$ such that these three vectors represent the orientation of the ${ℝ}^3$ opposite to the standard orientation?

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