Mathematics-Online course: Preparatory Course Mathematics-Linear Algebra and Geometry-Lines and Planes-Two-Point Form

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	Mathematics-Online course: Preparatory Course Mathematics - Linear Algebra and Geometry - Lines and Planes
	Two-Point Form

The points

on a line passing through two points $P\ne Q$ can be described in the following form:

$\displaystyle \overrightarrow{PX} = t\overrightarrow{PQ}, \quad t\in\mathbb{R}\, ,$

where parameter values $t\in[0,1]$ correspond to the points of the line segment $\overline{PQ}$ .

$\includegraphics[width=8cm]{a_zwei_punkte_form_bild}$

Correspondingly, for the coordinates of the vector $\vec{x}$ we have

$\displaystyle x_i = p_i + t(q_i-p_i),\quad i=1,2,3\, .$

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automatically generated 1/9/2017