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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: 
Average: 2.3 (4 votes)
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

Anonymous's picture

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.
Anonymous's picture

Works nicely once I figured out how to use it?