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"simple" maths question. Camera look direction

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This has probably been asked before but since search has been disabled I appologise for not finding anything... I have a camera system. I have the eye point in 3d World space. I also have a rotation for this point around x, y and z. How from this information can I get a look vector? I should know but my brain has switched off today. Even a point in the right direction would be good :) Cheers

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Simply take the camera's look direction (should be vector (0, 0, 1) if looks at z axis direction) and multiply that vector by rotation matrix.

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