Learn How to Use Bra-ket Notation in LaTeX for Quantum Mechanics

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is there anyway of doing bra-ket notation in latex?
 
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[tex]\langle \psi \mid \Psi \rangle[/tex]
 
I need help!I would like to ask a question about braket notation.
IN two dimensional complex linear vector space

<v|v>=2 <w|w>=4 and <v|w>=i

How can i find |v> and |w> ?
 
Suppose you were dealing with a real two dimensional linear vector space, and you were given

v.v=2, w.w=4, v.w=1

What can you determine about v and w? (If you can answer this, we'll move on to the complex case.)