1. [-/0.391 Points] DETAILS LARCALC11 11.5.005. Determine whether each point lies on the line. x = -5 + t, y = 4t, z = 5+t (a) (0, 20, 10) O Yes O No (b) (5, 6, 11) O Yes O No (c) (-7, -8, 3) Yes O No Need Help? Read It2. [10.261 Points] LARCALC11 11.5.007. Find sets of parametric equations and symmetric equations of the line that passes through the given [mint and is parallel to the given vector or line. (For each line, write the direction numbers as integers.' Point Parallel to (0, 0, 0) v : (9, 1, 6) (a) parametric equations (Enter your answers as a commaseparated list.) (b) symmetric equations 0 6x = y = 92 X = 03"\" 6 09x:y:62 o 1 = = 5 . mm Y 9 3. [40.262 Points] LARCALC11 11.5.0053. Find sets of parametric equations and symmetric equations of the line that passes through the given point and is parallel to the given vector or line. {For each line, write the direction numbers as integers.) Point Parallel to (6,0,5) v=9i+7j2k (a) parametrit equations (Enter your answers as a commaiseparated list.) (b) symmetric equations 0 x + 6 7 y 7 5 72 Need Help? Find sets oiz parametric equations and symmetric equations of the line that passes through the two points (if possible). (For each line, write the direction numbers as integers.) 22 4,572 __1 r, . ).(5,5,) (a) parametric equations (Enter your answers as a commaseparated list.) (b) symmetric equations L=L= 22 27 15 47x7 iz+2 O 22 _y_ 15 O 47x:y+5:z+2 22 27 15 =L5=i 20 27 15 Need Help? @ 5. [40.262 Points] DETAILS LARCALC11 11.5.016. Find sets of parametric equations and symmetric equations of the line that passes through the two points (if possible). (For each line, write the direction numbers as integers.) (D, 0, 81), [18, 18, O) (a) parametric equations (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) E (b) symmetric equations x y z 7 9 O le= 18y=81z9 OX_9:K_9:Z_9 18 18 81 02x=2y=92781 Need Help? 6. [-10.13 Points] DETAILS LARCALCH 11.5.017. Find a set of parametric equations of the line with the given characteristics. (Enter your answers as a commaseparated list.) The line passes through the point (1, 2, 3) and is parallel to the xzplane and the yzplane. Z Need Help? _ 7. [40.13 Points] DETAILS LARCALC11 11.5.020. Find a set of parametric equations of the line with the given characteristics. (Enter vour answers as a commaseparated list.) The line passes through the point {5, 8, 6) and is perpendicular to the plane given by X + By + z = 8. Z Need Help? 8. [40.13 Points] DETAILS LARCALCH 11.5.022. Find a set of parametric equations of the line with the given characteristics. (Enter your answers as a commaseparated list.) The line passes through the point (1, 4, 9) and is parallel to v = 7i j. Z Need Help? 9. [-/0.13 Points] DETAILS LARCALC11 11.5.029. Determine whether the lines are parallel or identical. x = 8 - 4t, y = -2+ 2t, z =6+4t x = 8t, y = 2 - 4t, z = 14 - 8t O The lines are parallel. O The lines are identical. Need Help? Read It 10. [-/0.13 Points] DETAILS LARCALC11 11.5.031. Determine whether the lines are parallel or identical. x - 8 _y+5 _ z+4 4 -3 x + 4 _ y - 4_ 2+19 -8 6 -10 O The lines are parallel. O The lines are identical. Need Help? Read It 11. [-/0.13 Points] DETAILS LARCALC11 11.5.039. Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line. Point Perpendicular to (1, 4, -5) n = j12. [10.13 Points] DETAILS LARCALC'H 11.5.042. Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line. Point Perpendicular to (o, 6, 0) n = ?i + 2k Z Need Help? 13. [10.13 Points] DETAILS LARCALC'H 11.5.044. Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line. Point Perpendicular to (9,414) Xl 2+9 =y+4= 8 9 Need Help? _' 14. [40.13 Points] DETAILS LARCALC'H 11.5.045. Find an equation of the plane with the given characteristics. The plane passes through ([1, [1, [1), (4, [1, F'), and [5, 1, 4]. S 15. [40.13 Points] DETAILS LARCALC'H 11.5.043. Find an equation of the plane with the given characteristics. The plane passes through the point (1, 1, 1) and is parallel to the yzplane. Z Need Help? 16. [40.262 Points] DETAILS LARCALC11 11.5.034. Find the point(s} of intersection I[iic any) of the plane and the line. (If an answer does not exist, enter DNE.) x2_y_z5 2 +3 =5 x Y . 10 6 2 mi:) Determine whether the line lies in the plane. The line lie in the plane. weedHeip