Question: Find a point on the ellipsoid x 2 + 4y 2 + z 2 = 9 where the tangent plane is perpendicular to the line

Find a point on the ellipsoid x2 + 4y2 + z2 = 9 where the tangent plane is perpendicular to the line with parametric equations x = 2 - 4t, y = 1 + 8t, and z = 3 - 2t.

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