Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
General Math
Calculus
Differential Equations
Topology and Analysis
Linear and Abstract Algebra
Differential Geometry
Set Theory, Logic, Probability, Statistics
MATLAB, Maple, Mathematica, LaTeX
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
General Math
Calculus
Differential Equations
Topology and Analysis
Linear and Abstract Algebra
Differential Geometry
Set Theory, Logic, Probability, Statistics
MATLAB, Maple, Mathematica, LaTeX
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Mathematics
General Math
What is the term for a set of loci that are the same?
Reply to thread
Message
[QUOTE="Mark44, post: 6024878, member: 147785"] I would say that the equations are equivalent, as both parametric equations describe the same set of points. For your parametric line, there are an infinite number of parametric representations. For example, the direction along your line is given by the vector <2, 1>. Any scalar multiple of this vector will also have the same direction. In your second equation the direction vector is <-18, -9>, which is -9 * <2, 1>. Also, the equation could be written using any point on the line. In slope intercept form, the equation of the line is y = (1/2) x - 3, which could also be written as 2y - x + 6 = 0, and in many other ways as well. [/QUOTE]
Insert quotes…
Post reply
Forums
Mathematics
General Math
What is the term for a set of loci that are the same?
Back
Top