Page 821 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

(c)
(d)

19. Let have the Euclidean inner product. Show that for all values of the variable , the vector has

norm 1 and is orthogonal to both and .

Let have the Euclidean inner product. Which of the following form orthonormal sets?
20.

(a) ,

(b)
,

(c)
,

(d) , (0, 0)

Let have the Euclidean inner product. Which of the following form orthonormal sets?
21.

(a) ,
,

(b) , ,
(c)

,

Let
22.

Show that is an orthonormal set if has the inner product