Assignment:
Q1. Find the point of intersection of the line containing the points (3; 2; 1) and (4; 3; 3), and the plane containing the points (5; 4; 2), (3; 1; 6) and (6; 5; 3).
Q2. Find the radius of curvature at (1; 0; 1) on the three dimensional curve given by r(t) = cos ti + sin tj + e^tk. Sketch this curve, and briefly describe its shape.
Provide complete and step by step solution for the question and show calculations and use formulas.