Page 220 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition
P. 220
In each part, something is wrong with the expression. What?
27.
(a)
(b)
(c)
(d)
Is it possible to have ? Explain your reasoning.
28.
If , is it valid to cancel u from both sides of the equation and conclude that
29. ? Explain your reasoning.
Suppose that u, v, and w are mutually orthogonal nonzero vectors in 3-space, and suppose that
30. you know the dot products of these vectors with a vector r in 3-space. Find an expression for r in
terms of u, v, w, and the dot products.
Hint Look for an expression of the form .
Suppose that u and v are orthogonal vectors in 2-space or 3-space. What famous theorem is
31. described by the equation ? Draw a picture to support your answer.
Copyright © 2005 John Wiley & Sons, Inc. All rights reserved.
