Consider the Point $P = ( R \cos \theta , R \sin \theta )$

Essay

Consider the point $P = ( R \cos \theta , R \sin \theta )$ , which lies on the circle of radius R centered at the origin.Show that, so long as $\theta \neq 0$ or $\pi$ radians, then the vector from (R,0)to P and the vector from (-R,0)to P are perpendicular.