Let a and b be real numbers. Let L be the line defined as L: 3- 3t, y =-5+ t, z= a+ bt, teR Let D be the plane defined as D: 10z + 6y + z = 16. Suppose that • L is parallel to D. • The distance between L and D is V137. ) Find b. i) Find the set of all values of a. Türkçe: a ve b reel sayılar olmak üzere L doğrusu ve D düzleminin denklemi aşağıdaki şekilde verilmiş olsun: L:z = 3- 3t, y = -5+ t, z= a + bt, teR D: 10z + 6y + z = 16. • L doğrusu D düzlemine paralel ve • L ve D arasındaki uzaklık v137 ise i) b değe i) a nın alabileceği tüm değerler kümesini bulunuz. bulunuz. O i) 24, ii) (153, -121) O i) 24, i) (153) O i) 24, ii) {-121) O i) 24, i) (145, -129) O i) 9, ii) (153, -121) O i) 9, ii) {145, -129) O i) 9, i) (145) O i) 9, i) (-129)

18. Which point does not lie on the same plane as the points P(1,5,6), Q(-2,-3,4), and R(-1,3,2)? a. S(0,-1,8) C. c. S(1,-3,2) S(4,13,8) b. S(0,4,4) d. 19. Determine which line is perpendicular to the line 2x-3y + 17 = 0. a. r = (1,2) + s (3,2), s € R C. r = s(3,2), SER s b. 7 = (1,7) + s(2,-3), s € R d. r = (2,-3) + s(3,-2), SER

Let a and b be real numbers. Let L be the line defined as L:x = 8 – 8t, y= -15+t, z= a+ bt, t E R Let D be the plane defined as D: 4x + 3y + z = 7. Suppose that Lis parallel to D. The distance between L and D is v26. i) Find b. ii) Find the set of all values of a. O i) 29, ii) (46, -6} O i) 29, ii) (46} O i) 29, ii) {-6} O i) 29, ii) (36, -16} О) 13, i) (46, -6) О) 13, i) (36, -16} O i) 13, ii) {36} O i) 13, ii) {-16}