Show that the given vectors form an orthogonal basis for R 2 or R 3 . Then

Question:

Show that the given vectors form an orthogonal basis for R²or R³. Then use Theorem 5.2 to express w as a linear combination of these basis vectors. Give the coordinate vector [w]_Bof w with respect to the basis B = {v₁, v₂} of R²or B = {v₁, v₂, v₃} of R³.

0 |, v, = V1 -1 ]; w = 1 -1