Vector CalculusNeed answer for 1 & 2 Please use sentences to explain what steps you are taking and why. Use apex calculus for reference

1) Consider the surfaces defined by the equations: x2 + 2y2 - 22 + 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 ) = Tz(t) = Do the particles collide? Do their paths intersect