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.
Equation of a Line in Vector Form 2D
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Line
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MathWorld
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Shortest Distance between a Point and a Line in 2D
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Vector
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MathWorld
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"
From Vector to Line
" from
The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FromVectorToLine/
Contributed by:
Ed Pegg Jr
High School Trigonometry
Linear Algebra
Vector Algebra
From Vector to Plane
2D Vector Addition
Decomposition of a Vector in 2D
Cross Product of Vectors in the y-z Plane
Dot Product
Linear Transformation with Given Eigenvectors
QR Decomposition
Gram-Schmidt Process in Two Dimensions
Head-to-Toe Vector Addition
Normed Line
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