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Given velocity vector 

LaTeX Math Inline
body{\vec {u}}=(u,v,w)
 the streaklines are defined as curves 
LaTeX Math Inline
body{\vec {r}}_s(t) = \big( \, x(s), \, y(s), \, z(s) \, \big)
 parametrized by parameter 
LaTeX Math Inline
bodys
:

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