1. A line passes through the points A(2, 3) and B(-2, 1). Find a vector equation of the line. [x, y] = [-4, -2] + 42, 3] [x, y) = [2, 3] + 1-4,-2] [x, y] = [2, 3] + (-2, 1) [x, y] = [-2, 1] + (2, 3] A B D 2. A line has slope -3 and y-intercept 5. Find a vector equation of the line. [x, y] = [0, 5] + 11, -3] [x, y] = [1, -3] + 10, 5J Ix, yl =1-3, 5j + i-3, -31 A B [x, y] = [5, 0] + rſ0, –31 D _ 3. The Cartesian cquation of the plane with normal veetor i = [1, 2, 1] and passing through the point (3, 2, 1) is: x+ 2y + z+ 8 = 0 B x+ 2y +z- 8 = 0 3x + 2y +z- 8 = 0 3x + 2y +z+ 8 - 0 _ 4. The equation of a plane is [x, y, z] – [3, 1, 3] + s[=1, 1, 2] + f[2, 1, 1). Find a normal vector to the plane. [3, 1, 3] [-1, 5, –3] [-1, 1, 2] [2, 1, 1] A В D 5. The equation of a plane is x+ 2y + 3z- 6 = 0 . Find the y-intereept of the plane. D -3 _ 6. Two planes are parallel if their normals are perpendicular are collinear dot product is zero are different A B 7. Which of the following determines a plane? A a line and a point not on the line B two intersecting lines C two parallel, non-coincident lines D all of the above 8. Which of the following is not a plane? - -(1,3,4) + 3(2,-1,2) + +(1, 1,1), 5,t e R B 7- (2,4,2) + 5(1,-2, 3) + :(3,2,2), 5,t e R 7 - (3,2,3) + <(4,-4,2) + *(-2,2,-1). 5, e R D 7-(-2,1,4) + :(2,2-1)+-(2,2,1). s,t e R х+2 у-1 9. Which of the following points is not on the line ** . A P(7,7,12) B P(-2,1,3) C P(-11,-5,-6) D none of the above 10. On which of the following planes could the point P(0, 4, 3) lie? A x-3 В у-3 C z-3 none of the above D.