How to express orthogonal basis of space spanned by some vector in a correct way?

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I have a series of vectors, suppose ${a,b,c,d,e}$. These vector span a space. $span \{a,b,c,d,e\}$. I have the orthogonal base of the space, supposed called $u,v,x,y,z$.

How can I express the relationship between two sets of vectors in mathematical expression?

I want something like the following, but I do not know how to express that correctly.

$(u,v,x,y,z) ... =span\{{a,b,c,d,e\}}$

Thanks for your time.