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v 38. Motion along a circle Show that the vector-valued function r(1) = (2i + 2j + k) i + V3 + sin t j+ V3 + cos t V2 describes the motion of a particle moving in the circle of radius 1 centered at the point (2, 2, 1) and lying in the plane x+y- 2z 2. bail1 smit %3D

v 38. Motion along a circle Show that the vector-valued function r(1) = (2i + 2j + k) i + V3 + sin t j+ V3 + cos t V2 describes the motion of a particle moving in the circle of radius 1 centered at the point (2, 2, 1) and lying in the plane x+y- 2z 2. bail1 smit %3D

Advanced Engineering Mathematics
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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c. r(t) = cos (t - /2)i + sin (t d. r(t) = (cos t)i – (sin 1)J• 20 %3D %3D niz mil e. r(t) = cos (r)i + sin (12)j, t0 v 38. Motion along a circle Show that the vector-valued function %3! r(1) = (2i + 2j + k) + cos t il + sin i + j+ k V3 describes the motion of a particle moving in the circle of radius 1 centered at the point (2, 2, 1) and lying in the plane x + y - 2z = 2. 39. Motion along a parabola A particle moves along the top of the s bai 1 smit %3D
Transcribed Image Text:c. r(t) = cos (t - /2)i + sin (t d. r(t) = (cos t)i – (sin 1)J• 20 %3D %3D niz mil e. r(t) = cos (r)i + sin (12)j, t0 v 38. Motion along a circle Show that the vector-valued function %3! r(1) = (2i + 2j + k) + cos t il + sin i + j+ k V3 describes the motion of a particle moving in the circle of radius 1 centered at the point (2, 2, 1) and lying in the plane x + y - 2z = 2. 39. Motion along a parabola A particle moves along the top of the s bai 1 smit %3D
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