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# 'Flux of a Vector through a surface' - terminology question watch

1. Heya

Just been looking through my math notes & working through the section on vector calculus, my lecturer writes:

I understand the math & the math that follows this but I have no idea what it's actually talking about what is a vector field & how is it different to planes & vectors? And what is flux?

Any help would be welcome
2. (Original post by PerigeeApogee)
A vector field is a function which assigns a vector to every single point in space.

For example, if you had a river, then the velocity of all the particles in the river would be determined by the velocity vector field which describes that flow of the river.

A flux is the rate of flow of a quantity as a result of this vector field. Going back to the river example, I can imagine placing an imaginary wall in the river and asking myself the question 'how much water flows through the area of that wall as a result of the velocity vector field which describes the river'?
Brilliant that helps a lot, thank you very much!

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