Consider the following statements regarding streamline(s) :
i) It is a continuous line such that the tangent at any point on it shows the velocity vector at that point
ii) There is no flow across streamlines
iii) \(\frac{{{\rm{dx}}}}{{\rm{u}}} = \frac{{{\rm{dy}}}}{{\rm{v}}} = \frac{{{\rm{dz}}}}{{\rm{w}}}\) is the differential equation of a streamline, where u, v and w are velocities in directions x, y and z, respectively
iv) 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)