# Let r(t)=<cost,sint,ln(cost)>.?

Can someone help me with this?

Let r(t)=<cost,sint,ln(cost)>. Find the unit tangent vector T(t), the unit normal vector N(t), and the binormal vector B(t) at the point (1,0,0).

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- IndicaLv 71 month agoFavorite Answer
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- rotchmLv 71 month ago
The first step if for you to get acquainted with those concepts and/or the formulas of those concepts. So, look them up if need be and type them here.

To start you off:

A tangent vector to r(t) is r'(t) = < x'(t), y'(t), z'(t) >. What do you get?

Normalizing this is the unit tangent vector. What do you get?

At the point (1,0,0), what it t= ?

Replacing this value of t into your found unit tangent vector gives ?

Now, whats the formula for N(t) & B(t) ? same procedure.

Done!

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