Let x, y € R" be given. (a) If ||x|| = ||y|| = 1 and x * y = 1, show that x = y. (b) If ||x|| ≤ 1 and ||y|| ≤ 1, prove that √(1

Question

Let x, y € R" be given.
(a) If ||x|| = ||y|| = 1 and x * y = 1, show that x = y.
(b) If ||x|| ≤ 1 and ||y|| ≤ 1, prove that √(1 - ||x||²) √(1 - ||y||²) ≤ 1 − |x · y|.

Kunduz · Accepted Answer

Click to see the answer