10658
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
THINGS TO TRY
Drag Locators
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.
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
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
From Vector to Plane
Ed Pegg Jr
Vector Projection
Oliver Knill (Harvard University)
Three Vector Spaces
Jelena Kovacevic
2D Vector Addition
Joe Bolte
3D Vector Decomposition
Mito Are and Valeria Antohe
Commutativity of 3D Vector Addition
Izidor Hafner
Vector Addition is Commutative
Izidor Hafner
Decomposition of a Vector in 2D
Izidor Hafner
Normalizing Vectors
George Beck
Roll Any Point on the Sphere to Any Desired Latitude-Longitude Coordinates with One Straight-Line Roll
Aaron Becker
Related Topics
Linear Algebra
Vector Algebra
High School Mathematics
High School Precalculus
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
HSN-VM.A.1
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+