Find the vectors T, N, and B at the given point. r(t) = (8 cos(t), 8 sin(t), 8 In(cos(t))), (8,0,0) T = (0,1,0) N = B = (-12,0,12) (-12,0, 12)|| X X
Find the vectors T, N, and B at the given point. r(t) = (8 cos(t), 8 sin(t), 8 In(cos(t))), (8,0,0) T = (0,1,0) N = B = (-12,0,12) (-12,0, 12)|| X X
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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Transcribed Image Text:Find the vectors T, N, and B at the given point.
T =
N =
B =
r(t) = (8 cos(t), 8 sin(t), 8 In(cos(t)), (8,0,0)
(0,1,0)
(-12,0, -12)|
(-12,0,12)
X
X
Expert Solution
Step 1
Introduction:
In mathematics, a vector at a degree on a curve is uniquely decomposed because of the sum of two additional vectors: one perpendicular to the curve, called the traditional component of the vector, and another the tangent to the curve, called the tangential component of the vector.
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