(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This is a two part problem

A) Find a vector normal to the plane at (2,1,7)

B) Find a vector normal to the plane tangent to the paraboloid at (2,1,7)

2. Relevant equations

Plane: z = x + y +4

Paraboloid: z = x^2 +3y^2

3. The attempt at a solution

I'm not sure where to start. I know that a vector normal to the plane is <1,1,-1>, but that isn't at (2,1,7). Any help?

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# Find a vector normal to the plane at (2,1,7)

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