Problem 1

Let , , .

(a). Ind the Parametric Equations for the line Which Contains and is Perpendicular to the Triangle

(b). Find the Equation of the Set of All Points such that is Perpendicular to . This Set Forms what Shape (either Plane, Line, Sphere, Cone, Paraboloid, or Hyperboloid) in Space

It forms a sphere centred around with a radius of 1

(c). A light Source at the Origin Shines on the Triangle Making a Shadow on the Plane . Find point where the light Ray that Passes through Intersects the Plane