Dear Friends,(adsbygoogle = window.adsbygoogle || []).push({});

I've read about quaternions, and they can be expresed in 4 terms or in angles like this:

[tex] a + ib + jc + kd = cos \theta + \vec{v} sin \theta [/tex]

Quaternions are a generalization of the complex numbers, but in 3D. My question is about angles. For example, with a complex number, we can write:

[tex] a + ib = sin \theta + i \theta [/tex]

By generalization, is this ok?

[tex] a + ib + jc + kd = cos \theta + i sin \theta + j sin \theta + k sin \theta [/tex]

By other hand, we can take the angles in complex numbers like:

[tex] a + ib = cos \theta + i sin \theta [/tex] --> Only one angle

how much angles has a quaternion? has angle with the real part?

my best reggards.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: On quaternions

**Physics Forums | Science Articles, Homework Help, Discussion**