MATH307-Group Homework 4 Solved

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  .

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.