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The systems to the vector is below:


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Given(R(t)=)and point()

The point()occursat t=-2

Find the derivative the the vector,






Tangent vectors:














The typical vectors.

You are watching: Find the vectors t, n, and b at the given point.





The binormal vector is,

(B(-2)=T(-2) imes N(-2))




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Given the vector (r(t) = cos T, sin T, ln ( cos T) ) and point (1, 0, 0) find vectors T, N and B at the point.

Vector T is the unit tangent vector, for this reason the derivative r(t) is needed.

Vector N is the common unit vector, and also the equation because that it offers the derivative of T(t). ()

The B vector is the binormal vector, i m sorry is a crossproduct the T and N.

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