Question: a problem about the surface

SURF is the surface z=2x^2+y^2 for x=0 .. 2, y=0 ..4 and view= -1 ..16.

L is a straight line laser beam x=7-2t, y=t, z=4t-1 which hits SURF at the point P=(1, 3, 11).

Graph SURF, the laser path in red (t=0 to 3), the normal vector at P in black, and the reflected path in green.

Include the equations of the normal vector and the reflected path.

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