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Equation of a Line

With the knowledge of vectors, it is possible to find equation of a line.
Line consists of a point that it starts at, $\vec{p}$, and the direction vector, $\vec{d}$, as well as a scalar $t$ that determines the ”length” of the direction vector.
The general equation of a line is

\vec{x} = \vec{p} + t\vec{d}

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