Question: Consider the ellipsoid 4 x 2 + y 2 + 2 z 2 = 1 6 , which is an implicit surface. An equation of

Consider the ellipsoid 4x2+y2+2z2=16, which is an implicit surface.
An equation of the tangent plane to this ellipsoid at (1,2,2) is
z=-x-y2+4
The parametric form of the line through this point that is perpendicular to that tangent plane is
vec(L)(t)
Consider the ellipsoid 4 x 2 + y 2 + 2 z 2 = 1 6

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