The dot product A . B is the magnitude of vector A times the projection of B onto A. B . A is the magnitude of vector B times the projection of A onto B. Correct? A . B = B . A and this makes sense. But, say you're trying to find the components of a vector V in the direction of a vector W. Would it matter whether or not you wrote V . W or W . V? EDIT: Also, does anyone know what it means (geometrically speaking) to find the components of a vector in the direction of another vector? I can give an example from a book if needed.