practice problems. Need help with prep. For f(x,y,z) = x^2 + y^2 + 3z^2 - 6z,  find all points on the surface f(x, y, z) = 10 for which the tangent plane is perpendicular to the line given by r(t) = (2+t,3+t, t)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 40E
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Doing practice problems. Need help with prep. For f(x,y,z) = x^2 + y^2 + 3z^2 - 6z,  find all points on the surface f(x, y, z) = 10 for which the tangent plane is perpendicular to the line given by r(t) = (2+t,3+t, t).

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