. A plane passes through the three points A(1, 1, 1), B(2, 3, 4), and C(1, 0, 1). Find a parametric equation of the plane. x = 1+ 2s x = 1+25+1 a. y = 1+35-t S,tER C . y = 1+ 35 S, tER z = 1+45 z = 1+45+1 x = 1+5 x = 1+s+1 b. y = 1+ 25 -t S,tER d. y = 2+25+ 2t S, tER z = 1+35 z = 3+35+35 6. Find the intersection point of the two lines: [x, y] = [1, 2] + ([2, -1] and [x, y] = [0, 3] + s[3, -2], S, tER. a. [3, 1] C. [1, 2] b. [0, 3] d. [1, 3] Page 1 of 6 7. In three-space, find the intersection point of the two lines: [x, y, z] = [-2, 3, -3] + s[1, -1, 2], s E R and x = 3-1 y = -5+2t, tER. z = 7-2t a. (0, 1, 1) (-1, 2, -2) b. (-2, 3, -3) d. (3, -5, 7) 8. Write the scalar equation of the plane with normal vector ? = [5, -1, -2] and passing through the point (5, -1, -2). a. 5x- y- 2z = 0 C. 5x- y - 22 + 30 = 0 b. 5x- y- 22- 30 = 0 d. 5x- y- 22- 25 = 0