Is there an intuitive way to visualize quaternions? It seems like it would be hard to do.
This definition seems contradictory, as you could say i, j, and k all = sqrt(-1), but then ijk would be -sqrt(-1). How is this resolved?
What does ijk equals to -1?
For the three imaginary parts: ij = k, jk = i and ki = j holds. (Just multiply ijk=-1 by some combinations of i, j and k.)
Is there an intuitive way to visualize quaternions? It seems like it would be hard to do.
This definition seems contradictory, as you could say i, j, and k all = sqrt(-1), but then ijk would be -sqrt(-1). How is this resolved?
What does ijk equals to -1?
For the three imaginary parts: ij = k, jk = i and ki = j holds. (Just multiply ijk=-1 by some combinations of i, j and k.)