Vector Calculus

Please explain what steps you are taking and why. Need answer for 1 and 2

1) Consider the surfaces defined by the equations: x2 + 2y2 - z2 + 3x = 1 2x2 + 4y2 - 2z2 - 5y =0 The curve of intersection of these surfaces lies in a plane. Find the distance from that plane to the origin. 2) Two particles travel along the paths defined by the following vector valued functions: ri (t ) = rz(t) = Do the particles collide? Do their paths intersect