It's cool that the complex dot product in C^n preserves the generality of R^n "on the sly". It looks like all of the properties still hold as well? Even in the case when the scalar, k, is complex (because taking the conjugate in the non-complex would make no difference, as in the other properties as well).
![Linear Algebra 9 | Inner Product and Norm [dark version]](http://i.ytimg.com/vi/fXWdBineqWI/mqdefault.jpg)
![FendiDa Rappa - Clock Dat ft. Shamar Marco [Official Music Video]](http://i.ytimg.com/vi/3NBU8KHdxYY/mqdefault.jpg)
It's cool that the complex dot product in C^n preserves the generality of R^n "on the sly". It looks like all of the properties still hold as well? Even in the case when the scalar, k, is complex (because taking the conjugate in the non-complex would make no difference, as in the other properties as well).
Oops, I should have watched the other one first.
i think this is another great video!