Finding an upper triangular matrix to orthogonalize three vectors

[akanksha331]

Let a,b,c be three 3x1 vectors. Let A be a 3x3 upper triangular matrix which ensures that the 3x1 vectors d,e and f obtained using

[d e f]=A[a b c]

are orthogonal.

a)Express the elements of A in terms of vectors a,b and c.
b)what is the condition on a,b and c which allows us to find an orthogonalizing matrix A?
c)what is the condition on a,b and d which would allow that A be a diagonal matrix?please help me to solve problem

 

[arildno]

Show us your work. No pain, no gain.

 

[akanksha331]

I am sure I can solve the problem . I just want one hint to start the problem.

 

[arildno]

Hint:
Read your textbook.