[Reflections] A laser starts at the point (0, 0, 4) and fires a beam in the direction of ⟨2, −3, 0⟩ towards the surface x^2 − 2xy − z = 0. The beam reflects off of the surface and then hits the surface a second time. (a) Where does the laser hit the surface the first time? (b) Find a vector normal to the surface at the point of intersection. (c) Give a parametrization for the path the beam takes after the reflection. (d) Where does this reflected beam hit he surface a second time?

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