[eigen] cross product with complex vectors |

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Hi
I was wondering whether the implementation of the cross product for
complex vectors [1] is correct.
Assume I have two vectors of type Vector3cd which hold a=(0,0,1) and
b=(0,1+i,0). I do a.cross(b) and would expect to get (-1-i,0,0) but get
(-1+i,0,0) as a result.
I think the formula in [1] should be (a + ib) x (c x id) = (a x c - b x
d) + i (a x d + b x c) but maybe I am wrong.
It would be great if somebody could provide some sanity check or the
reasoning behind [1].
Thanks for helping,
Orell
[1]
http://eigen.tuxfamily.org/dox/group__Geometry__Module.html#ga0024b44eca99cb7135887c2aaf319d28