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.

Question

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.

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The Answer of 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.

Consider the Point P=(Rcos⁡θ,Rsin⁡θ)P = ( R \cos \theta , R \sin \theta )P=(Rcosθ,Rsinθ)

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