Hello,

I need to take the cross product of two four dimensional vectors, but I can't find help anywhere except for up to 3 dimensions.

Thanks!

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- Dec 4th 2011, 11:25 PMtubetess123Cross product in four dimensions?
Hello,

I need to take the cross product of two four dimensional vectors, but I can't find help anywhere except for up to 3 dimensions.

Thanks! - Dec 4th 2011, 11:32 PMredsoxfan325Re: Cross product in four dimensions?
The cross product is only defined in three dimensions. However, you can always find a vector $\displaystyle w$ orthogonal to $\displaystyle v_1$ and $\displaystyle v_2$ (I named your vectors) by solving the two equations $\displaystyle \langle v_1,w\rangle=0$ and $\displaystyle \langle v_2,w\rangle=0$.

- Dec 5th 2011, 12:00 PMtubetess123Re: Cross product in four dimensions?
So what about finding the points on two lines that are of minimum distance from each other?