query: In a quaternion, are j and k not just equal to i?
positive_passages.docid: 151670
positive_passages.text: Quaternions, Rotations and Real numbers
negative_passages.docid: 149973
negative_passages.text: Showing the following coordinate rings are not isomorphic
negative_passages.docid: 38127
negative_passages.text: Equivalence between Kähler condition and $\partial_kg_{i\bar j} = \partial_ ig_{k\bar j}$
negative_passages.docid: 81875
negative_passages.text: why is $\sqrt{-1} = i$ and not $\pm i$?
negative_passages.docid: 71316
negative_passages.text: Two inner products being equal up to a scalar
negative_passages.docid: 24128
negative_passages.text: How do i show that $w=z^2$ maps $|z-1|\leq 1$ onto $R=2(1+\cos \theta)$?
negative_passages.docid: 147564
negative_passages.text: Why does $(A/I)\otimes_R (B/J)\cong(A\otimes_R B)/(I\otimes_R 1+1\otimes_R J)$?
negative_passages.docid: 89621
negative_passages.text: Square roots of quaternions
negative_passages.docid: 59598
negative_passages.text: The vectors are orthonormal
negative_passages.docid: 50381
negative_passages.text: Quaternion for beginner
negative_passages.docid: 21743
negative_passages.text: Why are the solutions of polynomial equations so unconstrained over the quaternions?
negative_passages.docid: 80522
negative_passages.text: Quaternion rotation without Euler angles
negative_passages.docid: 28485
negative_passages.text: Commutativity of projection and rotation
negative_passages.docid: 80004
negative_passages.text: Why is $1/i$ equal to $-i$?
negative_passages.docid: 138501
negative_passages.text: Is $\mathbf{Q}(\sqrt{2},\sqrt{3}) = \mathbf{Q}(\sqrt{6})$?
negative_passages.docid: 76035
negative_passages.text: semi direct of quaternionic group
negative_passages.docid: 74244
negative_passages.text: Converting a rotation matrix to a quaternion