Consider the surface x² - y² + z² = −4. A. Identify the name of the surface. B. The line parametrized by r(t) = (2t, t-4, -t) intersects this surface in two points. What is the distance between these points?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Consider the surface x² - y² + z² = −4.
A. Identify the name of the surface.
B. The line parametrized by
r(t) = (2t, t-4, -t)
intersects this surface in two points. What is the distance between these points?
Transcribed Image Text:Consider the surface x² - y² + z² = −4. A. Identify the name of the surface. B. The line parametrized by r(t) = (2t, t-4, -t) intersects this surface in two points. What is the distance between these points?
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