hi, and thanks for reading. hh, and this isn't homework, its just something i've been wondering about.(adsbygoogle = window.adsbygoogle || []).push({});

i've been flicking through a linear algebra book, i'm trying to learn it by myself, and i've come across this question which has completely stumped me:

show that every quaternion z, where |z|= 1, can be expressed in the form z = cos(alpha/2) + sin(alpha/2).n, where n is a vector of length 1

I don't know where to start, but more importantly, i don't understand the intuition behind it. Anybody care to explain? thanks

**Physics Forums - The Fusion of Science and Community**

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

# Show that every quaternion z, where |z|= 1, can be expressed

Loading...

Similar Threads - Show every quaternion | Date |
---|---|

I For groups, showing that a subset is closed under operation | Feb 20, 2017 |

I A p-primary group G that is not divisible -- Show that <y> is pure in G. | Feb 9, 2017 |

I Show that you can find d and b s.t pd-bq=1 , p and q are coprime- GCF | Dec 17, 2016 |

Showing every free module is Projective | May 26, 2010 |

Show every group of order 77 has elements of order 7 and 11 | Apr 30, 2009 |

**Physics Forums - The Fusion of Science and Community**