1. Find an equation for the plane containing the points P = (0, 5, 0) and Q = (2, 3, 6) and parallel to the vector w = (1, 1, 1).

2. Find a vector equation v(t) for the intersection of the planes 4x y + 4z = 0 and 2x + 3y + 6z = 2.

3. Given the position vector s(t) = (2 cost, 3 sin t, 4 cost)

: (a) Find the velocity vector s(t).

(b) Find a vector equation for the line tangent to s(t) at the point (2, 0, 4)