rt = [1.5sin(2t) + 1.5cos(2t), 4t] (0, -1.5, 6). Find (a) the unit tangent and (b) the arc length from (0, 1.5, 0) to (0, -1.5, 6). Also, find (c) the normal vectors, (d) the velocity acceleration vectors, and (e) the curvature K at the point (0, -1.5, 6) (25%).
V = [yzx, z^2x^2y]. Find the VV and VxV at the point (1, 2, 3) (25%).
F = [cos(x) - xy^3, yz]. r = [t, t, t] (0 ≤ t ≤ 2π).