Consider the following surface parametrization. x = 3 cos(0) sin(4), y = 2 sin(0) sin(4), cos(4) Find an expression for a unit vector, n, normal to the surface at the image of a point (u, v) for 0 in [0, 2n] and ø in [0, n]. 2 cos(0) sin($), 3 sin(0) sin($), 6 cos(4) 5 sin?(0) sin?(4) + 32 cos2($) + 4 2 cos(0) sin(4), -3 sin(0) sin($), 6 cos(4) 5 sin?(0) sin?(4) + 32 cos2(4) + 4 -2 cos(0) sin($), –3 sin(0) sin(4), –6 cos(4) 5 sin?(0) sin?(4) + 32 cos2(4) + 4 -2 cos(0) sin($), 3 sin(0) sin(4), -6 cos(4)) 5 sin?(0) sin?(4) + 32 cos?($) + 4 -3 cos(0) sin(4), -2 sin(0) sin($), -6 cos(4) V5 sin?(0) sin?($) + 32 cos2(4) + 4 CoS Identify this surface. sphere ellipsoid cylinder circular parabaloid elliptical parabaloid

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A: Angle between two vectors is given by,

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A: The complete solutions are given below

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