Write down the vector field $\mathbf{F}(x,y)$ whose value at $(x,y)$ is of unit length and points toward $(1,0)$.
Solution
To specify the value of $\mathbf{F}(x,y)$, we first construct a vector that goes from$(x,y)$ to $(1,0)$. Then, we will modify it so that it has unit length.