**ERIC Number:**ED218086

**Record Type:**RIE

**Publication Date:**1979

**Pages:**35

**Abstractor:**N/A

**Reference Count:**0

**ISBN:**N/A

**ISSN:**N/A

Using the Quaternions to Compose Rotations. Applications of Linear Algebra to Geometry. Modules and Monographs in Undergraduate Mathematics and Its Applications Project. UMAP Unit 313.

Solomon, Frederick

This module applies linear algebraic methods to solve the following problem: If an object in a three-dimensional coordinate system is first rotated about a given axis through the origin by a given angle, and then rotated about another axis through the origin by another angle, there is a straightforward way to calculate the combined result of the two rotations. It is felt that the method presented to answer the question is even more interesting than the question itself. The material includes exercises and a model exam. Answers are provided for both. (MP)

**Publication Type:**Guides - Classroom - Learner

**Education Level:**N/A

**Audience:**N/A

**Language:**English

**Sponsor:**National Science Foundation, Washington, DC.

**Authoring Institution:**Education Development Center, Inc., Newton, MA.

**Identifiers:**Linear Algebra