[[Affine Transformations|Affine]] version of [[Skew Transformation]].
Skew projection into $\alpha$ in the direction $\vec v$
$\huge\begin{align*}
A&= I - \frac{1}{{\vec n^{\intercal}\vec v}} \vec v \vec n ^{\intercal} \\
\vec b &= \frac{c}{{\vec n^{\intercal} \vec v }}\vec v
\end{align*}$
#### [[Homogeneous Coordinates]]
$\huge
A = I - \frac{1}{\vec n^\intercal \vec v} \tilde v \tilde N ^\intercal
$