9 -The unit tangent vector T(t) = (- sin ti + cos tj + 3k) is given. Using definition of unit normal vectorV10N = T-, calculate binormal vector B = T × N for the curve at t = T.209b) O B = i +3+Ř)|T'|a) O B = (i +35)c)○ B=뉴(3j + k)V10d) ○ B=늦(i +k)V2e) O B= (i + 3k)

The general form of the parametric equation of the curve in three dimensional space is given by ,…

Answered: 9- The unit tangent vector T(t) = (-…

9- The unit tangent vector T(t) = (- sin ti + cos tj+3k) is given. Using definition of unit normal vector N = , calculate binormal vector B= T × N for the curve at t=n. |T'|

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.6: Equations Of Lines And Planes

Problem 2E

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Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

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9 -
The unit tangent vector T(t) = (- sin ti + cos tj + 3k) is given. Using definition of unit normal vector
V10
N = T-, calculate binormal vector B = T × N for the curve at t = T.
209
b) O B = i +3+Ř)
|T'|
a) O B = (i +35)
c)○ B=뉴(3j + k)
V10
d) ○ B=늦(i +k)
V2
e) O B= (i + 3k)

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