Question

Find B style=”color:rgb(0,0,0);background-color:transparent;”> and tau
τ for the space curve r​(t)equals
=left parenthesis 5 Bold cos t right parenthesis Bold i plus left parenthesis 5 Bold sin t right parenthesis Bold j plus left parenthesis 12 t right parenthesis Bold k
(5 cos t) i+(5 sin t) j+(12t) k. Tequals
=left parenthesis negative five thirteenths Bold sin t right parenthesis Bold i plus left parenthesis five thirteenths Bold cos t right parenthesis Bold j plus left parenthesis StartFraction 12 Over 13 EndFraction right parenthesis Bold k
−513sin t i+513cos t j+1213 kNequals
=left parenthesis negative Bold cos t right parenthesis Bold i plus left parenthesis negative Bold sin t right parenthesis Bold j
(− cos t) i+(−sin t) jThe binormal vector is Bequals
=left parenthesis nothing right parenthesis


iplus
+left parenthesis nothing right parenthesis


jplus
+left parenthesis nothing right parenthesis


k.The torsion is tau
τequals
=nothing
.​integer or a simplified​ fraction.)

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