. Suppose you are standing at the center of a sphere looking at a point P on the surface of the sphere. Your line of sight to P is orthogonal to the plane tangent to the sphere at P. Choose the correct answer below.
A. The statement is true. The normal vector at P has the same direction as the line of sight from the observer to P. It follows that the line of sight OP is orthogonal to the plane tangent to the sphere at P
. B. The statement is false. While the normal vector at P has the same direction as the line of sight from the observer to P, this implies that the line of sight OP is orthogonal to the plane normal to the sphere at P.
C. The statement is true. The tangent vector at P has the same direction as the line of sight from the observer to P. It follows that the line of sight OP is orthogonal to the plane tangent to the sphere at P.
D. The statement is false. The normal vector at P does not have the same direction as the line of sight from the observer to P. It follows that the line of sight OP is not orthogonal to the plane tangent to the sphere at P.