10. Given the quadric surface z=3x + 2y answer each of the following questions. (a) What type of quadric surface is it? How do you know? Provide the evidence supporting how you classified the quadric surface. (b) Determine the intersection points of the surface with the line r(t) = (-t, 2t, 2 + t). 11. When a charged particle moves with velocity v through a magnetic field B, a force due to the magnetic field FB acts. on the charged particle. This occurs according to the cross-product: where q is the charge of the particle. FB =qv x B (a) If a particle of charge q = 13.4 x 10-6C, where the unit C is a Coulomb, moves according to the velocity vector v (1, 5, 2) and the magnetic field vector is B = (4,2,-1), find the force vector FB that is acting on the particle. (b) What is the magnitude of the force on the particle? (c) Sketch the right-handed system (v, B, FB) and roughly indicate the trajectory of the particle.