I may not understand your difficulty. Put I hope this helps.
Now divide. .
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.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?
Maybe i'm just overcomplicating the question like I normally do.
I understand what you've done up to:
can you just explain this step?
Is this because all the other dot product will be zero except for the one where i=j?
Orthonormal means that both have a unit length and are orthagonal so for the second part. I figured that out on my own! =D