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## Main Question or Discussion Point

I have a question about the exterior product. Is it true that

[tex]\mathbf{a}\wedge\mathbf{b}=|| \mathbf{a}\times \mathbf{b}||[/tex]

If not, how does one relate the exterior product to the cross product?

Thanks in advance.

[tex]\mathbf{a}\wedge\mathbf{b}=|| \mathbf{a}\times \mathbf{b}||[/tex]

If not, how does one relate the exterior product to the cross product?

Thanks in advance.