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## Homework Statement

Write all orthogonal matrices in the form [tex]e^{i\phi \frac{\hat{n}\bullet\vec{L}}{\hbar}}[/tex].

## Homework Equations

## The Attempt at a Solution

I couldn't understand the question. An orthogonal matrix [itex]R[/itex] satisfies

[tex]R^{T}R = RR^{T} = I[/tex]

and rotation matrices in 3 dimensions are orthogonal. Further,

[tex]e^{i\phi \frac{\hat{n}\bullet\vec{L}}{\hbar}}[/tex]

describes a finite rotation of [itex]\phi[/itex] about the axis [itex]\hat{n}[/itex]. What do I have to show here?

Thanks in advance.

-Vivek