Question

Let 

V

 be an inner product space and 

{u,v}

 be an orthonormal set.  Then for any 

lambda∈[0,1]

, which of the following is an orthonormal set?

{1−λ−−−−−√u+λ−−√v,1−λ−−−−−√u−λ−−√v}

 

{(1−λ)u+λv,(1−λ)u−lambdav}

 

{1−λ−−−−−√u+λ−−√v,1−λ−−−−−√v−λ−−√u}

 

None of the above​

Answer 1

Answer:

the correct answer would be option d