Find T, N, B, K, and 7 as functions of t if r(t) = (sin t)i + (V2 cos t )j + (sin t)k.
Find T, N, B, K, and 7 as functions of t if r(t) = (sin t)i + (V2 cos t )j + (sin t)k.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 69E
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Question
Find T, N, B,
Expert Solution
Step 1
Consider the given vector,
The formula for is given as,
Now,
and,
so, we get,
Hence, the value of unit tangent vector is .
Step 2
Now, formula for unit normal vector is given as,
Since, , so,
and,
So, we get,
Hence, the value of unit normal vector is .
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