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Let r(t) = t(2, 1, 0) + ³(1,-1, 2) + (1, 0, 1). (A) This curve lies in a plane. Why? Find the point of intersection of that plane with the line x = -t + 1, y=t-3, z = 3t. (B) Verify that the torsion is zero, for all t.

Let r(t) = t(2, 1, 0) + ³(1,-1, 2) + (1, 0, 1). (A) This curve lies in a plane. Why? Find the point of intersection of that plane with the line x = -t + 1, y=t-3, z = 3t. (B) Verify that the torsion is zero, for all t.

Algebra & Trigonometry with Analytic Geometry
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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Let r(t) = t(2, 1, 0) + ³(1, -1, 2) + (1, 0, 1). (A) This curve lies in a plane. Why? Find the point of intersection of that plane with the line x = -t + 1, y=t-3, z = 3t. (B) Verify that the torsion is zero, for all t.
Transcribed Image Text:Let r(t) = t(2, 1, 0) + ³(1, -1, 2) + (1, 0, 1). (A) This curve lies in a plane. Why? Find the point of intersection of that plane with the line x = -t + 1, y=t-3, z = 3t. (B) Verify that the torsion is zero, for all t.
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