Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online course: Vector Calculus - Planes

Hesse-Form of a Plane

[previous page] [next page] [table of contents][page overview]
The position vector $ \vec{x}$ of a given point $ X$ in a plane through point $ P$ orthogonal to a normal vector $ \vec{n}$ satisfies

$\displaystyle \vec{x}\cdot\vec{n} = d,\,\quad d=\vec{p}\cdot\vec{n}\, . $

If $ \vert\vec{n}\vert=1$ and $ d\ge0$ , then we obtain the so called Hessian normal form and $ d$ is the distance between the plane and the origin.

\includegraphics[width=10cm]{hesse_form}

(temporary unavailable)
[previous page] [next page] [table of contents][page overview]
  automatically generated 10/30/2007