Coordinates of a Point Relative to a Basis in 2D

This application graphs coordinates of a point in R^2 both in the standard basis and a selected u-v basis.

Identifier:
http://demonstrations.wolfram.com/CoordinatesOfAPointRelativeToABasisIn2D/
Subject:
Rating:
Creator(s):
Eric Schulz
Cataloger:
Publisher:
Wolfram Demonstrations Project
Rights:
Eric Schulz and Wolfram Research
Format Other:
The user produces a new basis $$\{\mathbf{u}$$, $$\mathbf{v}\}$$ for $$\mathbf{R}^2$$ by moving points on a plane, and can then move a point around $$\mathbf{R}^2$$ by altering the $$\mathbf{u}$$ and $$\mathbf{v}$$ coordinates of the point. It takes some practice with the application to figure out what each slider alters and how they relate to each other.