For the velocity field given by

$u=kx$

$v=-ky$

where k is a positive constant with dimension $s^{-1}.$

$($a$)$ Calculate the general equation for the streamlines of this flow.

$($b$)$ Sketch a few streamlines by hand $($min$.3)$

$($c$)$ Evaluate the velocity at some point in the flow and indicate the flow direction in

your sketch.