Using an Ellipsoid Find a point on the ellipsoid 3x² + y² + 3z² = 1 where the tangent line is pa

Name: Using an Ellipsoid Find a point on the ellipsoid 3x² + y² + 3z² = 1 where the tangent line is parallel to the plane -12x + 2y + 6z = 0.
Uploaded: 2025-03-01T02:20:53-08:00
Duration: 4 min 26 s
Channel: Chareen Guzman
Description: Using an Ellipsoid Find a point on the ellipsoid 3x² + y² + 3z² = 1 where the tangent line is parallel to the plane -12x + 2y + 6z = 0.

Question

Keerti J · Accepted Answer

Step 1:  
Identify the gradient of the ellipsoid. The ellipsoid is given by the equation (3x^2 +

Question

Using an Ellipsoid Find a point on the ellipsoid 3x² + y² + 3z² = 1 where the tangent line is parallel to the plane -12x + 2y + 6z = 0.

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