Well this is what i'm stuck on. The first step of my method was to multiply both sides by . However, the question seems to hinge on what v has to be equal to. I can't see what this is. My initial thought was v=0, but this does not make sense since the vectors can have different magnitudes.Quote:
Suppose that are orthogonal non-zero vectors in Euclidean n-space, and that a vector v is expressed as
Show that the scalars are given by
What are if the vectors are orthonormal?
Anyone have any ideas?