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(e' cos t, et sin t, et), the Show that for every point on the curve 7(t) angle between the unit tangent vector T(t) and the z-axis is the same. Show that the same is true for the normal and binormal vectors N (t) and B(t). Write a sentence explaining what this tells you about the graph of the curve.

(e' cos t, et sin t, et), the Show that for every point on the curve 7(t) angle between the unit tangent vector T(t) and the z-axis is the same. Show that the same is true for the normal and binormal vectors N (t) and B(t). Write a sentence explaining what this tells you about the graph of the curve.

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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Show that for every point on the curve 7(t) = (e* cos t, e' sin t, e'), the angle between the unit tangent vector T(t) and the z-axis is the same. Show that the same is true for the normal and binormal vectors N(t) and B(t). Write a sentence explaining what this tells you about the graph of the curve.
Transcribed Image Text:Show that for every point on the curve 7(t) = (e* cos t, e' sin t, e'), the angle between the unit tangent vector T(t) and the z-axis is the same. Show that the same is true for the normal and binormal vectors N(t) and B(t). Write a sentence explaining what this tells you about the graph of the curve.
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