A particle moves on a fixed surface in F.(0), which is defined by z = 2xy. During the motion, the x and y coordinates change with time as x = 3sinot and y = 3cosot. Find the unit vectors in the tangential, normal, and binormal directions, as well as the radius of curvature and torsion of the curve when ot = n /4.

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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A particle moves on a fixed surface in F.(0), which is defined by z = 2xy. During
the motion, the x and y coordinates change with time as x = 3sinot and y = 3cosot.
Find the unit vectors in the tangential, normal, and binormal directions, as well as the
radius of curvature and torsion of the curve when ot = n /4.
Transcribed Image Text:A particle moves on a fixed surface in F.(0), which is defined by z = 2xy. During the motion, the x and y coordinates change with time as x = 3sinot and y = 3cosot. Find the unit vectors in the tangential, normal, and binormal directions, as well as the radius of curvature and torsion of the curve when ot = n /4.
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