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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  • Indica
    Lv 7
    1 month ago
    Favorite Answer

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  • rotchm
    Lv 7
    1 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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