Talk:Geometric algebra: Difference between revisions
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Is that what you are asking for? A "quaternion multiplication" which also works for something which is not a quaternion, such that when some of those other things are multiplied you can get a quaternion basis? --[[User:Rdm|Rdm]] ([[User talk:Rdm|talk]]) 22:25, 17 October 2015 (UTC)
:I don't know why you thought they were quaternions. They are orthonormal vectors from which the quaternions are made. Yopu make three bivectors i, j and k from these vectors and you verify that those bivectors satisfy the algebraic identity <math>i^2 = j^2 = k^3 = ijk = -1</math>, which means they are isomorphic to the quaternion field.--[[User:Grondilu|Grondilu]] ([[User talk:Grondilu|talk]]) 22:31, 17 October 2015 (UTC)
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