I believe I answered my own question. There are several definitions of inner products. Here is one.
I believe I answered my own question. There are several definitions of inner prodcut. Here is one (right contraction) if $$A_j$$ is a j-vector and $$B_k$$ is a k-vector then
$$A_j \cdot B_k=...
I think I solved it.
The idea is to apply the mean value theorem six times: For each of the three components in each of the two directions. Since the mean value theorem is for functions from R^n -> R, I could have a different point for each of the (3) components on each of the (2)...
Tom I am trying to solve problem 4 of page 193 of Munkres "Analysis of Manifolds".
It confuses me that he suggest the use of SIX (6) points to find tha area of a triangle.
Why six points?
Any hint?
thanks.