Repeat Exercise 5.1.1, but use the weighted inner product (v, w) = v1w1 + 1/9 v2 w2 instead of the dot product.
Exercise 5.1.1.
Let R2 have the standard dot product. Classify the following pairs of vectors as
(i) Basis,
(ii) Orthogonal basis, and/or
(iii) Orthonormal basis:
(a)

(b)

(c)

(d)

(e)

(f)

2 -R-FS 2 6 3 4-5 3-5 3-5 4-5