Sentence:  <WSD>Antisymmetric</WSD> bilinear forms and wedge products are defined exactly as above, only now they are functions from \R^n\times\R^n to \R.... / Exercise 21 "Show that every <WSD>antisymmetric</WSD> bilinear form on \R^3 is a wedge product of two covectors." 
Meaning of the word marked with <WSD> tags:  For which "B"("w,v") = -"B"("v,w").