Consider the surface S: x12+x22-X32 (a) Provide a sketch of the surface S on the x1, x2, x3 axes. (b) Determine the equation of the tangent plane TSa, for a = (3, 4, 5). (c) Determine the parametric and symmetric equations of the normal line to S at point a, for a = (3, 4, 5).

Consider the surface S: x12+x22-X32 (a) Provide a sketch of the surface S on the x1, x2, x3 axes. (b) Determine the equation of the tangent plane TSa, for a = (3, 4, 5). (c) Determine the parametric and symmetric equations of the normal line to S at point a, for a = (3, 4, 5).

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 12T

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Question

Consider the surface S: x₁²+x₂²-X₃²
(a) Provide a sketch of the surface S on the x₁, x₂, x₃ axes.
(b) Determine the equation of the tangent plane TS_a, for a = (3, 4, 5).
(c) Determine the parametric and symmetric equations of the normal line to S at point a, for a = (3, 4, 5).

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