Given three frames $A,B,$ and $C,$ such that:

$P_B^A=\left[\begin{array}{c}1\\ 1\\ 2\end{array}\right],P_C^B=\left[\begin{array}{c}0\\ -1\\ 1\end{array}\right],R_B^A=\left[\begin{array}{ccc}1& 0& 0\\ 0& 0\mathrm{.}707& -0\mathrm{.}707\\ 0& 0\mathrm{.}707& 0\mathrm{.}707\end{array}\right],R_B^C=\left[\begin{array}{ccc}0\mathrm{.}5& 0& -0\mathrm{.}866\\ 0& 1& 0\\ 0\mathrm{.}866& 0& 0\mathrm{.}5\end{array}\right]$

and given a point D with coordinates $D^C=\left[\begin{array}{c}1\\ 1\\ 1\end{array}\right],$ compute its coordinates $D^A$ in frame $A.$