Do the given vectors form an orthogonal basis for R O Yes

Last updated: 4/9/2023

Do the given vectors form an orthogonal basis for R O Yes the given set does form an orthogonal basis for R O No the given set does not form an orthogonal basis for R You are given the theorem below Let V V V be an orthogonal basis for a subspace W of R and let w be any vector in W Then the unique scalars c C such that w c V are given by for i 1 k v V Use the theorem to express was a linear combination of the above basis vectors Give the coordinate vector w of w with respect to the basis B V V V3 C W