Answer
$$
M_P=\{-24 \mathbf{i}+24 \mathbf{j}+8 \mathbf{k}\} \mathrm{kN} \cdot \mathrm{m}
$$
Work Step by Step
The coordinates of points $A$ and $P$ are $A(3,3,-1) \mathrm{m}$ and $P(-2,-3,2) \mathrm{m}$ respectively.
$$
\begin{aligned}
\mathbf{r}_{P A} & =[3-(-2)] \mathbf{i}+[3-(-3)] \mathbf{j}+(-1-2) \mathbf{k} \\
& =\{5 \mathbf{i}+6 \mathbf{j}-3 \mathbf{k}\} \mathbf{m}
\end{aligned}
$$
Moment of $\boldsymbol{F}$ About Point $\boldsymbol{P}$.
$$
\begin{aligned}
M_P & =\mathbf{r}_{A P} \times \mathbf{F} \\
& =\left|\begin{array}{ccc}
\mathbf{i} & \mathbf{j} & \mathbf{k} \\
5 & 6 & -3 \\
2 & 4 & -6
\end{array}\right| \\
& =\{-24 \mathbf{i}+24 \mathbf{j}+8 \mathbf{k}\} \mathrm{kN} \cdot \mathrm{m}
\end{aligned}
$$
