Curve \mathcal{K} is defined as an intersection of surfaces z^2 = 2x^2 + y^2 and z = x + 1. The curve's projection on plane z = 0 is positive oriented.
Parametrise the curve \mathcal{K}.
Find the Frenet-Serret basis of the curve \mathcal{K} at point A(2, 1, 3).
Find the...