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I am experiencing a little bit of trouble grasping the concept of vector fields in fluid mechanics:

If the vector V = u i + v j + w k, where i,j,k are unit vectors in the x,y,z directions, then how can u,v,w be functions of x,y,z,t?

I.e. if say v is in the y direction, then how can it be expressed in terms of x and z as well?

Many thanks :)

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# Vector field fluid mechanics

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