Please help me solve this question thank you so much

(a) (C) (d) (e) Tangent plane to a sphere: Consider the sphere of radius R centered on the origin in 3 dimensions. Now consider the point 559 moi + yo} + 201:. Write the equations for any two (non-parallel) planes which pass through both. the point in and the origin. Using these planes, write the equation for the tangent plane of the sphere at the point in. [I-Iint: think about how the tangent plane of a. sphere must be perpendicular to a line connecting the center to the point.] Let 25.3 > 0 (which means, focus on the northern hemisphere - I'm thinking of the Earth here). Find the point where the tangent plane intersects the \" Polar Axis" (Le. the line that passes through origin and the north P018: fNorthP-oie = Ric) In the tangent plane, the unit vector which is called \"North\" is the vector that points from in to the point you just found. What is that vector? In the tangent plane, the unit vector which is called \"East\" is the vector that is perpendicular to \"North\" and points counterclockwise when seen from 2 > 0. Find the \"East\" unit vector