# From Vector to Line

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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 (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

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.

## Permanent Citation

"From Vector to Line"

http://demonstrations.wolfram.com/FromVectorToLine/

Wolfram Demonstrations Project

Published: March 7 2011