Hello I am not too sure how to solve this would really appreciate some help:
Consider the ellipsoid $3x^2+2y^2+z^2=18$. Find all the points where the tangent plane to this ellipsoid is parallel to the plane $6x−2y+2z=0$
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2Welcome to [math.se] SE. Take a [tour]. You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an [edit]): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance. – Another User Jul 23 '23 at 17:04
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2"I am not too sure " says you tried some thing? So tell us what you know of tangent plans – trula Jul 23 '23 at 17:07
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2Gradient of the ellipsoid must be a multiple of the normal vector of the plane.... – Bob Dobbs Jul 23 '23 at 18:58