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Typo in the projection of a point to plane #22

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4 changes: 2 additions & 2 deletions docs/geometry-potpourri.md
Original file line number Diff line number Diff line change
Expand Up @@ -677,11 +677,11 @@ Of course, you _must_ normalize the plane with `p.normalize()` for this computat

What about the line perpendicular to the plane through the point $P\cdot p$? It can't be used to
measure the distance to the plane as we pointed out before, but it _can_ be used to project the
point to the plane. The succinct formula for this projection is $(p \cdot P)P$.
point to the plane. The succinct formula for this projection is $(p \cdot P)p$.

$$
\begin{aligned}
(p\cdot P)P &= (\ee_{23} - \ee_{03})(3\ee_0 + \ee_1) \\
(p\cdot P)p &= (\ee_{23} - \ee_{03})(3\ee_0 + \ee_1) \\
&= 3\ee_{023} + \ee_{123} - \ee_{031} \\
&= \ee_{123} - 3\ee_{032} + \ee_{013}
\end{aligned}
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