Here is the problem: Let T, N, and B be the tangen...

Here is the problem:
Let T, N, and B be the tangent, normal, and binormal vectorsto a curbe parametrized by t, and let k be thecurvature.
a) Show that dB/dt is perpendicular toB.
b) show that dB/dt is perpendicular to T. (Hint:Recall that B=T X N. Differentiate thisequation.)

Answers ( 1 )

  1. viktor sauer
    viktor sauer
    (a) since |B|=1 or |B|2=1 or B.B=1
    on differentiating,  
    this gives
    (b)
    then
                      
                      
                        
                         
    Then
                             
                             
    this gives

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