Wolfram Demonstrations Project

Any nonzero vector defines a unique perpendicular line in 2D. Except for lines through the origin, every line defines a nonzero vector. Hover over the blue line to see the equation of the line generated by the movable point.

Contributed by: Ed Pegg Jr

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The vector is in standard position, starting at the origin. The line passes through the tip of the vector.

Conversely, a line determines the vector from the origin to the closest point to the line from the origin.

Equation of a Line in Vector Form 2D (Wolfram Demonstrations Project)

Line (Wolfram MathWorld)

Shortest Distance between a Point and a Line in 2D (Wolfram Demonstrations Project)

Vector (Wolfram MathWorld)

"From Vector to Line" from the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FromVectorToLine/

Contributed by: Ed Pegg Jr

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From Vector to Line

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