Page 472 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

(a)
(b)
(c)
(d)

Let have the Euclidean inner product. For which values of k are u and v orthogonal?
10.

(a) ,

(b) ,

Let have the Euclidean inner product. Find two unit vectors that are orthogonal to the three vectors ,
11. , and .

In each part, verify that the Cauchy–Schwarz inequality holds for the given vectors using the Euclidean inner product.
12.

(a) ,

(b) ,

(c) ,

(d) ,

In each part, verify that the Cauchy–Schwarz inequality holds for the given vectors.
13.

(a) and using the inner product of Example 2 of Section 6.1

(b) using the inner product in Example 7 of Section 6.1