Description
Instructions: Read textbook pages 37 to 38 and 43 to 45 before working on the
homework problems. Show all steps to get full credits.
1. Textbook page 42, Chapter 4 problem 22.
2. Show that if V is a vector space with a real valued inner product <, >, then
for any x, y ∈ V, < x, y >=
1
4
(|x + y|
2 − |x − y|
2
) .
3. Suppose that V is a vector space with inner product <, > and u, v ∈ V, |u −
v| = 3, |u + v| = 7, find < u, v > and |u|
2 + |v|
2
.