Thread: Cross 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!

Originally Posted by tubetess123

Hello,

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

Thanks!

The cross product is only defined in three dimensions. However, you can always find a vector orthogonal to and (I named your vectors) by solving the two equations and .

So what about finding the points on two lines that are of minimum distance from each other?