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I had a problem where I showed that [itex]u \times v[/itex] in [itex]R^3[/itex] was orthogonal to [itex]u[/itex] and [itex]v[/itex]. I was wondering how I could show it for an [itex]R^n[/itex] space? Like, what is the notation/expression to represent a cross product in an [itex]R^n[/itex] space and how would I show that [itex]n[/itex]-number of coordinates cancel out?
Thank-you
Thank-you