Choose the correct formula for a vector field with the given properties.

All vectors are $of$ unit length and perpendicular $to$ the position vector $at$

that point.

vec$(F)(x,y)=\frac{y(vec(i))-x(vec(j))}{\sqrt[\phantom{2}]{x^2+y^2}}$

vec$(F)(x,y)=$xvec$(i)+$yvec$(j)$

vec$(F)(x,y)=\frac{-x(vec(i))}{\sqrt[\phantom{2}]{x^2+y^2}}$

vec$(F)(x,y)=\frac{-x(vec(i))-y(vec(j))}{\sqrt[\phantom{2}]{x^2+y^2}}$

vec$(F)(x,y)=$yvec$(i)-$xvec$(j)$