TT, I'm sure "Outraged of Somewhere or Other" will be along soon but if you feel you really must film your experience, the odds of your little Videocam bringing a 747 to the ground would appear to be pretty thin given the number of people who have been doing similar since the late 1970's. I would think that so long as you're not being loud, a nuisance or some other equally obnoxious trait, most crew won't give a damn as they'll be busy getting on with other more important things. If a member of crew does take objection and tell you to turn it off, nothing lost by saying sorry and doing so.
However, to place you completely in the clear, I offer you this as a substitute
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