Dadidadida: Parametric Representation of Lines

Parametric Representation of Lines

Line in $\mathbb{R}^2$ :

$y = mx + b$

Line in

$\mathbb{R}^n$ :

$L = { \vec{x} + t \vec{v} | t \in \mathbb{R} }$

Given two point vectors

$\vec{P_1}$ and

$\vec{P_2}$ , what is the line that passes through them ?

Solution:

$L = \vec{P_1} + t(\vec{P_1} - \vec{P_2}) | t \in \mathbb{R}$

$L = \vec{P_2} + t(\vec{P_1} - \vec{P_2}) | t \in \mathbb{R}$

See video.

# posted by rot13(Unafba Pune) @ 10:19 PM

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