I don't understand wedge product and Grassmann algebra. However, I heard that these concepts are obvious when you understand the geometrical intuition behind them. Can you give this geometrical meaning or name a book where it is explained?



Geometrical meaning of Grassmann algebra
For a brief explanation of the geometric meaning of exterior product,
interior product of a k-form and l-vector, Hodge dual etc. see my answer here:
[When to pick a basis?](https://mathoverflow.net/questions/4648/when-to-pick-a-basis/4900#4900)


The best reference for this stuff is Bourbaki, Algebra, Chapter 3.


