Write a formula for a two-dimensional vector field which has all vectors parallel to the xx-axis and all vectors on a horizontal line having the same magnitude

The formula for a two-dimensional vector field will be:

F = F (x, y) = = u i + v j;

Where (i, j) are unit vectors in the coordinate directions

To make all vectors parallel to the x-axis

v (x, y) = 0

F (x, y) =

To make all vectors on a horizontal line having the same magnitude.

u (x, y) = u (y)

so

F (x, y) = = u (y) i