Determine the equation of osculating plane at given point

Reference no: EM131004021

Find the vectors u. n, b and the scalars k, τ for the twisted cubic

r(t) = ti + t²j + -(2/3) t³k, t ∈ R.

Show that k makes a constant angle with the unit vector (u + b) / √2. Also, determine the equation of the osculating plane at the point (1.1.2/3).

Reference no: EM131004021

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