Vector field
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QUARKy
Hello.

I was wondering-- this may seem obvious to some people, but... I guess I need to KNOW whether I am right or wrong--
but it seems that, given a vector field, if say a particle is traveling along the gradient, that it is also traveling along a flow line and that I should therefore be able to equate the two. I think that this phenomenon seems sooo right, except I have never had a teacher explicitly state this (which, if it is true and they are trying to teach us, why they heck wouldn't they?) and when I googeled it, I could not find anything to that effect. So any explicit answer would be most appreciated and any further information on the relationship between the two would also be appreciated (though to a slightly smaller degree than an explicit answer to my question of whether or not it is a sound idea to equate the gradient with the equation for the flow line given a vector field).

Thank you to all those who participate.

:D
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