From Vector to Line
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.
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.
"From Vector to Line"
Wolfram Demonstrations Project
Published: March 7 2011