A particle moves along a space curve C with velocity vec(v) and acceleration vec(a). If vec(v) = (2)/(t)vec(i) + vec(j) - (2)/(t^(2))vec(k) and vec(v) x vec(a) = (4)/(t^(3))vec(i) - (4)/(t^(4))vec(i) + (2)/(t^(2))vec(k), find:
(i) the principal unit normal vec(N) at t = 1.
(ii) the torsion T at t = 1.
If vec(N) = avec(i) + bvec(j) + cvec(k), enter the values of a, b, and c in Blanks #1, 2, 3.
Enter the value of torsion in Blank #4.
Enter an integer or a fully reduced fraction such as -3, (4)/(7), 9, 0, -(8)/(15), etc.
