IN PYTHON CODE: Consider the window crank below $-$ note that it's components are not necessarily orthogonal.

Given the following:

vec$(AB)$ lies in the yz$-$plane

vec$(BC)$ lies in the xy$-$plane

The angle between vec$(AB)$ and the $z-$axis measuremed below the $z-$axis is $=30$

The angle between vec$(BC)$ and the $x-$axis measured below the $x-$axis is $=18$

vec$(CD)$ is parallel to the z$-$axis

Length of vec$(AB)=3cm$

Length of vec$(BC)=3cm$

Length of vec$(CD)=1\mathrm{.}5cm$

Force applied at of $D$ in the positive $x-$direction $=3N$

Python input:

alpha $=30$

theta $=18$

$ab=3$

$bc=3$

$cd=1\mathrm{.}5$

$F=3$

Determine the moment from the force $F$ that turns the crank about the axis along the vector vec$(r{)}_{AB}$ :