# GATE Mechanical 2014 Set 4 | Question: 43

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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