On the Teaching of Exterior Product of Spacial Vectors
The exterior product of spacial vectors is a difficulty in analytic geometry teaching.This paper first proves the equivalence between the algebraic definition and the geometric definition of the exterior product,and then gives a proof of the double exterior product formula that does not depend on the choice of coordinates.This approach reveals the discovery process of the formula and is hoped to be helpful for teaching.
exterior productright-hand ruledouble exterior product formula