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.

Given That : rt=t2,1,0+t31,-1,2+1,0,1 To Find: a) Point of the intersection of the plane with the…

Answered: Let r(t) = t(2, 1, 0) + ³(1,-1, 2) +…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.