Direction Vector

See: Vector, Vector Magnitude, Tensor, Unit Vector.

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References

2011

• http://en.wikipedia.org/wiki/Direction_vector
  • In mathematics, a direction vector that describes a line segment D is any vector

    [math]\displaystyle{ \overrightarrow{AB} }[/math]

    where [math]\displaystyle{ A }[/math] and [math]\displaystyle{ B }[/math] are two distinct points on the line D. If v is a direction vector for D, so is kv for any nonzero scalar k ; and these are in fact all of the direction vectors for the line D. Under some definitions, the direction vector is required to be a unit vector, in which case each line has exactly two direction vectors, which are negatives of each other (equal in magnitude, opposite in direction).

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