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Consortium for Mathematics and its Applications

Product ID: Geometer’s Corner
Supplementary Print
High School

Quaternions

Author: Jon Choate


In my last Geometer’s Corner, I focused on how rotations can be expressed using complex numbers and 3 × 3 matrices. We saw that you can use the complex number sin(t) + cos(t)i as an operator that will rotate any complex number a + bi through an angle of t degrees. In what follows it will be useful to think of a + bi as an ordered pair (a, bi) where a is real number and bi is a complex number with i2 = –1.

© 2023, COMAP, Inc.
Consortium 125
3 Pages

Mathematics Topics:

Geometry , Trigonometry, Matrices, Vectors, Complex Numbers, Rotations

Application Areas:

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