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
Accepted Solution
A:
The formula for a two-dimensional
vector field will be:
F = F(x,y) = <u(x,y), v(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) = <u(x,y),0>
To make all vectors on a horizontal line having the
same magnitude.
u(x,y) = u(y)
so
F(x,y) = <u(y),0> = u(y) i