How Do I Prove This Vector Space Equality?

[asi123]

Homework Statement

Hey guys.
Can anyone help with proving this equality please?
I don't have a clue.

10x.

Homework Equations

The Attempt at a Solution

 

[HallsofIvy]

First V is not contained in C, V is a vector space over the complex numbers.

Now, presumably you know that ||v||²= <v, v>.

Expand ||u+ v||, ||u- v||, ||u+ iv||, and ||u- iv|| and see what you get.

 

[asi123]

First V is not contained in C, V is a vector space over the complex numbers.

Now, presumably you know that ||v||²= <v, v>.

Expand ||u+ v||, ||u- v||, ||u+ iv||, and ||u- iv|| and see what you get.

Thanks.