HI I was a under a little confusion about vector field. Consider velocity field of fluid flow: V = u i + v j + w k here V is vector and consider a cap over i, j, k (since they represent x,y,z directions) now we know that u,v,w are functions of x,y,z,t. This is where i am confused. u is velocity component in x direction then it should be function of only x and t. Why y and z also??????? In a velocity field we see arrows representing magnitude and direction of velocity at any position, are these arrows over fluid particles? I mean can i assume each arrow as a particle at that position having certain velocity represented by the arrow?????? I think i lack understanding of fluid velocity field. Can anyone expalin a bit.