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[itex]R_{\hat{n}}(\alpha)\vec{x}=\hat{n}(\hat{n}\cdot\vec{x})+\cos\left(\alpha\right)(\hat{n}\times\vec{x})\times\hat{n}+\sin\left(\alpha\right)(\hat{n}\times\vec{x})[/itex]

to index notation (forget about covariant and contravariant indices).

My attempt:

[itex]R_{ji}x_{i}=n_{j}n_{k}n_{k}-cos(\phi)\epsilon_{lmj} \epsilon_{noj} n_{l}x_{m}n_{j}+sin(\phi)\epsilon_{pqj} n_{p}x_{q}[/itex]

The minus sign comes from [itex]\hat{n} \times (\vec{x} \times \hat{n})= -(\hat{n} \times \vec{x}) \times \hat{n}[/itex]

So is this right??