5.Determine if thetwo given equationsrepresent twodifferent lines or thesame line.: (7,2) + t(2,1): (4,5) + s(4,2)14.Find the distancebetween each of thefollowing pairs ofskew linesL1: (1,1,2) + s(1,2,2)L2: (3,1,3) + t(βˆ’1,1,3)1.Determine avector equation of aline that goesthrough the points𝐴(1,4) and 𝐡(3,1)Β Β 3. If the points(8,4,14),(6,19,βˆ’4)(10, b, c) lie on thesame straight line,find the values of band c6.Determine thescalar equation Theline perpendicular tothe vector (3,2) thatpasses through thepoint(2,-6) .8.determine if the linesare intersect or areparallel, coincident, orskew. If they intersect,find the point ofintersection.Β R1 = (1,1,1) + s(1,2,1)R2= (2,1,2) + t(1,3,βˆ’1)Free!4.Find theangle that theline 2x + 8y βˆ’23 = 0 οΏ½makeswith the x-axis.Β 10.Determinethe distancefrom the pointP(9, 5) to theline3x βˆ’ 2y + 7 = 0.13. Find the vectorequation of the linex=-8-t,y=11-3t,z=-1-4tthrough the point(4,5,5) that meets theline at right angles.11.Given the line ,determine if thefollowing line isparallel, perpendicular,or coincident to it.L1: (2,βˆ’3,8) + t(4,-1,-2)L2; x = 1 + 4ty = 21 βˆ’ 1tz = 7 βˆ’ 2tΒ 15.Determine if thefollowing pair of lines arecoincident or distinctΒ L1: (1,2,3)+s(4,3,4)L2: (2,4,6)+t(400,300,400)Β Β Β 12.Find the distancebetween each of thefollowing pairs ofparallel lines.Β L1: (4,1,2) + s(2,1,2)L2: (9,1,9) + t(2,1,2)9.Determine theangle between thepair of lines.L1 :(3,4,βˆ’1) +t(3,βˆ’1,βˆ’1)L2 : (2,5,βˆ’5) +s(-3,βˆ’4,1)7.Explain whylines havescalarequations inR2, but not R3.2.Find the anglebetween each pairof lines.L1: (16,12) + t(3,4)L2: (15,βˆ’4) +s(2,1)5.Determine if thetwo given equationsrepresent twodifferent lines or thesame line.: (7,2) + t(2,1): (4,5) + s(4,2)14.Find the distancebetween each of thefollowing pairs ofskew linesL1: (1,1,2) + s(1,2,2)L2: (3,1,3) + t(βˆ’1,1,3)1.Determine avector equation of aline that goesthrough the points𝐴(1,4) and 𝐡(3,1)Β Β 3. If the points(8,4,14),(6,19,βˆ’4)(10, b, c) lie on thesame straight line,find the values of band c6.Determine thescalar equation Theline perpendicular tothe vector (3,2) thatpasses through thepoint(2,-6) .8.determine if the linesare intersect or areparallel, coincident, orskew. If they intersect,find the point ofintersection.Β R1 = (1,1,1) + s(1,2,1)R2= (2,1,2) + t(1,3,βˆ’1)Free!4.Find theangle that theline 2x + 8y βˆ’23 = 0 οΏ½makeswith the x-axis.Β 10.Determinethe distancefrom the pointP(9, 5) to theline3x βˆ’ 2y + 7 = 0.13. Find the vectorequation of the linex=-8-t,y=11-3t,z=-1-4tthrough the point(4,5,5) that meets theline at right angles.11.Given the line ,determine if thefollowing line isparallel, perpendicular,or coincident to it.L1: (2,βˆ’3,8) + t(4,-1,-2)L2; x = 1 + 4ty = 21 βˆ’ 1tz = 7 βˆ’ 2tΒ 15.Determine if thefollowing pair of lines arecoincident or distinctΒ L1: (1,2,3)+s(4,3,4)L2: (2,4,6)+t(400,300,400)Β Β Β 12.Find the distancebetween each of thefollowing pairs ofparallel lines.Β L1: (4,1,2) + s(2,1,2)L2: (9,1,9) + t(2,1,2)9.Determine theangle between thepair of lines.L1 :(3,4,βˆ’1) +t(3,βˆ’1,βˆ’1)L2 : (2,5,βˆ’5) +s(-3,βˆ’4,1)7.Explain whylines havescalarequations inR2, but not R3.2.Find the anglebetween each pairof lines.L1: (16,12) + t(3,4)L2: (15,βˆ’4) +s(2,1)

Unit 6 - Equations and Intersections of Lines - Call List

(Print) Use this randomly generated list as your call list when playing the game. Place some kind of mark (like an X, a checkmark, a dot, tally mark, etc) on each cell as you announce it, to keep track. You can also cut out each item, place them in a bag and pull words from the bag.


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  1. M-5.Determine if the two given equations represent two different lines or the same line. : (7,2) + t(2,1) : (4,5) + s(4,2)
  2. T- 14.Find the distance between each of the following pairs of skew lines L1: (1,1,2) + s(1,2,2) L2: (3,1,3) + t(βˆ’1,1,3)
  3. M-1.Determine a vector equation of a line that goes through the points 𝐴(1,4) and 𝐡(3,1)
  4. T-3. If the points (8,4,14),(6,19,βˆ’4) (10, b, c) lie on the same straight line, find the values of b and c
  5. A-6.Determine the scalar equation The line perpendicular to the vector (3,2) that passes through the point(2,-6) .
  6. H-8.determine if the lines are intersect or are parallel, coincident, or skew. If they intersect, find the point of intersection. R1 = (1,1,1) + s(1,2,1) R2= (2,1,2) + t(1,3,βˆ’1)
  7. A-Free!
  8. H-4.Find the angle that the line 2x + 8y βˆ’ 23 = 0 οΏ½makes with the x-axis.
  9. T-10.Determine the distance from the point P(9, 5) to the line 3x βˆ’ 2y + 7 = 0.
  10. A-13. Find the vector equation of the line x=-8-t,y=11-3t,z=-1-4t through the point (4,5,5) that meets the line at right angles.
  11. H-11.Given the line , determine if the following line is parallel, perpendicular, or coincident to it. L1: (2,βˆ’3,8) + t(4,-1,-2) L2; x = 1 + 4t y = 21 βˆ’ 1t z = 7 βˆ’ 2t
  12. H-15.Determine if the following pair of lines are coincident or distinct L1: (1,2,3)+s(4,3,4) L2: (2,4,6)+t(400,300,400)
  13. M-12.Find the distance between each of the following pairs of parallel lines. L1: (4,1,2) + s(2,1,2) L2: (9,1,9) + t(2,1,2)
  14. M-9.Determine the angle between the pair of lines. L1 :(3,4,βˆ’1) + t(3,βˆ’1,βˆ’1) L2 : (2,5,βˆ’5) + s(-3,βˆ’4,1)
  15. T-7.Explain why lines have scalar equations in R2, but not R3.
  16. A-2.Find the angle between each pair of lines. L1: (16,12) + t(3,4) L2: (15,βˆ’4) + s(2,1)