Given the curve $C$, $C = {(x,y):x^2+y^2=1}$, $n=\langle x,y\rangle$ is normal to $C$.
Consider the vector field $F$ defined by $F=\langle y,-x\rangle$.
Is the vector field $F$ tangent to $C$ or normal to $C$ at points on $C$?
Given the curve $C$, $C = {(x,y):x^2+y^2=1}$, $n=\langle x,y\rangle$ is normal to $C$.
Consider the vector field $F$ defined by $F=\langle y,-x\rangle$.
Is the vector field $F$ tangent to $C$ or normal to $C$ at points on $C$?