Unformatted text preview: s . r ( t ( s )) = i + j + k 6. (1 pt) Consider the helix r ( t ) = ( cos (5 t ) , sin (5 t ) , 5 t ) . Compute, at t = π 6 : A. The unit tangent vector T = ( , , ) B. The unit normal vector N = ( , , ) C. The unit binormal vector B = ( , , ) D. The curvature κ = Note that all of your answers should be numbers. 7. (1 pt) Find the unit tangent, normal and binormal vectors T , N , B , and the curvature κ of the curve x = 4 t , y = 4 t 2 , z = 4 t 3 at t = 1. T = i + j + k N = i + j + k B = i + j + k κ = Note that all of the answers are numbers. Generated by the WeBWorK system c ± WeBWorK Team, Department of Mathematics, University of Rochester 1...
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 Spring '08
 FABER
 Differential geometry of curves, Frenet–Serret formulas, unit tangent vector

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