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Consider the following statements regarding streamline(s):

  1. It is a continuous line such that the tangent at any point on it shows the velocity vector at that point
  2. There is no flow across streamlines
  3. $\dfrac{dx}{u}=\dfrac{dy}{v}=\dfrac{dz}{w}$ is the differential equation of a streamline, where $u$, $v$ and $w$ are velocities in directions $x$, $y$ and $z$, respectively
  4. In an unsteady flow, the path of a particle is a streamline

Which one of the following combinations of the statements is true?

  1. $(i), (ii), (iv)$
  2. $(ii), (iii), (iv)$
  3. $(i), (iii), (iv)$
  4. $(i), (ii), (iii)$
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