3D Vector Decomposition

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration shows the decomposition of a vector in 3D. The components of the three vectors , , and defining the directions of decomposition and of the vector to be decomposed are adjusted using the sliders. The scalar multipliers , , of each of the three vectors are calculated and the prism defining the decomposition is graphed.

[more]

The scalar multipliers , , are obtained by solving a linear system having an augmented matrix with columns defined by the components of , , , and . If the determinant of the system is zero, corresponding to , , and being linearly dependent, a message is displayed prompting the user to make another selection.

[less]

Contributed by: Mito Are and Valeria Antohe (December 2010)
(Collin College)
Open content licensed under CC BY-NC-SA


Snapshots


Details



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send