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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.
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.
RELATED LINKS
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
)
PERMANENT CITATION
"
From Vector to Line
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FromVectorToLine/
Contributed by:
Ed Pegg Jr
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Linear Algebra
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Related Curriculum Standards
US Common Core State Standards, Mathematics
HSN-VM.A.1
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