Question

Prove:
<= ||x||*||y||, where x,y in R^n

Answer 1

\[x,y \in R^n\\x\cdot y\le||x||*||y||\]

Answer 2

anyone know a nice clean way?

Answer 3

yeah, there is

Answer 4

great:)

Answer 5

hmmm

Answer 6

im looking for a youtube which has the answer

Answer 7

here http://www.youtube.com/watch?v=Lzm8TgePzzg&list=PLF94A6F65866F3F31

Answer 8

depends on definition of dot product. If you define it as <u,v>=|u||v|cos\(\alpha\), then it just follow from this definition since |cos\(\alpha |\leq 1\)

Answer 9

x dot y = Sum xi*yi

Answer 10

the youtube proves that