Answer
Only (b) $\left\{ {{\bf{w}},{\bf{v}},{\bf{u}}} \right\}$ and (c) $\left\{ {{\bf{v}},{\bf{u}},{\bf{w}}} \right\}$ form a right-handed system.
Work Step by Step
Recall that three vectors $\left\{ {{\bf{a}},{\bf{b}},{\bf{c}}} \right\}$ forms a right-handed system if the direction of ${\bf{c}}$ is determined by the right-hand rule, that is, when the fingers of your right hand curl from ${\bf{a}}$ to ${\bf{b}}$, your thumb points to the direction of ${\bf{c}}$.
Refer to Figure 17 and using the right-hand rule: only (b) $\left\{ {{\bf{w}},{\bf{v}},{\bf{u}}} \right\}$ and (c) $\left\{ {{\bf{v}},{\bf{u}},{\bf{w}}} \right\}$ form a right-handed system.
