I have 3 pairs of 3-dimensional unit vectors. I take the dot product of those pairs of vectors and so I obtain the angle between them. In other words I can express the three dot products by their respective angle , and . I was wondering if there is any interesting geometric interpretation by the addition of those three angles + + ?
I am trying to find a way of simplifying/re-writing the above addition of angles and hence express it as a single term.
I would appreciate anyones help