§
Geometric proof of Cauchy Schwarz inequality
All credit goes to
p0a
on
##math
on freenode for teaching me this proof!
Here's one fun application of Cauchy-Schwarz. We can apply it to two vectors
x
=
(
a
,
b
)
x=(\sqrt a, \sqrt b)
x
=
(
a
,
b
)
and
y
=
(
b
,
a
)
y=(\sqrt b, \sqrt a)
y
=
(
b
,
a
)
to derive the AM-GM
inequality:
