10. The equation of a plane is [x, y, z] = [- 1, 0, 0] + s[- 1, 0, 1] + t[- 1, 2, 0]. Find vector YZ, where Y is the y - intercept of the plane and Z is the z intercept. [3 marks] 11. Determine the distance between the point (- 1, 2, 1) and the plane 2x + 14y - 5z = 7 [3 marks]12. Determine the value of m and n so that the vector a = [2, 4, 6] is perpendicular to both vectors b = (m, n, 10) and c = (6, m, n). [4 marks] 13. Determine the values of A and C such that the scalar (Cartesian) equation of a plane is Ax - 20y + Cz + 16 = 0 and the parametric equation of the same plane is: X = 2 - 3t + s Y= - 1 + 2t - s Z = 3 -t+2s [ 4 marks]