2. Suppose that a given line passes through (2, 3, 1) and (5, 5, 2): a) Find the point where this line intersects the plane having equation x + 2y + 4z = 67 (4 points). b) Find the acute angle (in degrees, rounded to nearest whole number) between the given line and the normal vector of the given plane (4 points). 3. Find, and sketch, the domain of the following function (6 points): f(x, y) = V4 -x2 -y2 + V1-x2