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:
Tom Polaski
Publisher:
Wolfram Demonstrations Project
Rights:
Eric Schulz and Wolfram Research
Format Other:
Requires downloading the CDF player from Wolfram (https://www.wolfram.com/cdf-player/).

Comments

takes some practice to master

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.

Works nicely!

Works nicely once I figured out how to use it?