Show that the unit binormal vector makes a constant angle

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Reference no: EM131004015

Consider the helix with arc-length parametrization

r(s) = αcos(αs)i + αsin(αs)j + αbsk, α - (a2 + b2)-1/2.

Show that the unit binormal vector makes a constant angle with the axis of the cylinder on which the helix lies.

Reference no: EM131004015

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Show that the unit binormal vector makes a constant angle : Consider the helix with arc-length parametrization r(s) = αcos(αs)i + αsin(αs)j + αbsk, α - (a2 + b2)-1/2. Show that the unit binormal vector makes a constant angle with the axis of the cylinder on which the helix lies.
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