Page 217 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

In each part, find .
6.

(a) ,

(b) ,

(c) ,

(d) ,

Let , , and . Verify Theorem 3.3.2 for these quantities.
7.

8. and are orthogonal vectors.
(a) Show that

(b) Use the result in part(a) to find two vectors that are orthogonal to .

(c) Find two unit vectors that are orthogonal to .

Let , , and . Evaluate the expressions.
9.

(a)

(b)

(c)

(d)

Find five different nonzero vectors that are orthogonal to .
10.

Use vectors to find the cosines of the interior angles of the triangle with vertices , , and .
11.