Dual Vectors (One Forms) | General Relativity

Earlier, we discussed index notation and discussed in detail about the vectors; but, where we have vectors it automatically leads us to developing a concept of dual vectors also known as one–forms. In this one I will discuss these in depth. I will define dual vectors from scratch with the help of three conditions on them and we will look at the transformation laws for the dual basis vectors. Furthermore in this video you will properly and truly for once understand what the hell is meant by a dot product of two vectors and much more!